Let the measure of angle A be \( x \) degrees. The complement of angle A is \( 90 - x \) degrees. According to the problem, angle A is 15 degrees more than twice its complement. This gives us the equation: \[ x = 2(90 - x) + 15 \] Let's solve for \( x \): \[ x = 180 - 2x + 15 \] \[ x = 195 - 2x \] \[ x + 2x = 195 \] \[ 3x = 195 \] \[ x = \frac{195}{3} \] \[ x = 65 \] So, the measure of angle A is 65 degrees.
Let the measure of angle B be \( y \) degrees. The complement of angle B is \( 90 - y \) degrees, and the supplement of angle B is \( 180 - y \) degrees. According to the problem, the complement of angle B is 16 degrees less than half of its supplement. This gives us the equation: \[ 90 - y = \frac{1}{2}(180 - y) - 16 \] Let's solve for \( y \): \[ 90 - y = 90 - \frac{y}{2} - 16 \] Simplify the right side of the equation: \[ 90 - y = 74 - \frac{y}{2} \] To eliminate the fraction, multiply every term by 2: \[ 2(90 - y) = 2(74 - \frac{y}{2}) \] \[ 180 - 2y = 148 - y \] Combine like terms: \[ 180 - 148 = 2y - y \] \[ 32 = y \] So, the measure of angle B is 32 degrees.
Hopefully magkacollab lahat ng nagtuturo ng CSC daming comparison ng iba na babasa ko na kesyo masmagaling magturo si ganito etc nakakaheart break lng. Sana kung magkaroon man magcollab lahat ng nagtuturo ng CSC content creator. LEONALYN, TEAM LYCA, BRAINBOX ❤️ Same lang iniaim ng mga to makatulong at makapasa lahat ❤️
Let the measure of the first angle be \( x \) degrees. The second angle is twice the first, so it is \( 2x \) degrees. The third angle is thrice the first, so it is \( 3x \) degrees. Let the measure of the fourth angle be \( y \) degrees. The sum of the angles in any quadrilateral is \( 360 \) degrees. Therefore, we have: \[ x + 2x + 3x + y = 360 \] Simplifying, we get: \[ 6x + y = 360 \] Since we are only given the relationship between the first three angles, we need to make an assumption about the fourth angle in order to solve for \( x \). If we assume the fourth angle is equal to the first angle (i.e., \( y = x \)), we can solve the equation: \[ 6x + x = 360 \] \[ 7x = 360 \] \[ x = \frac{360}{7} \] \[ x \approx 51.43 \] So, the measure of the first angle is approximately \( 51.43 \) degrees. If the assumption about the fourth angle being equal to the first angle isn't correct, we'd need more information to determine the exact measure of the first angle.
Thank you po Coach Lyka for sharing your knowledge and expertise! Gonna prepare for the upcoming CSE!!
Thank you so much maam lyqa God bless you po sayu sana tuloy tuloy ang pag tulong mo sa iba .
Ang galing mang hula kaysa mag compute hahaha. I’m 43 and appreciate ko talaga to ❤❤❤
Solid talaga ng oras pag manunuod ng video mo coach🫡
Let the measure of angle A be \( x \) degrees. The complement of angle A is \( 90 - x \) degrees.
According to the problem, angle A is 15 degrees more than twice its complement. This gives us the equation:
\[ x = 2(90 - x) + 15 \]
Let's solve for \( x \):
\[ x = 180 - 2x + 15 \]
\[ x = 195 - 2x \]
\[ x + 2x = 195 \]
\[ 3x = 195 \]
\[ x = \frac{195}{3} \]
\[ x = 65 \]
So, the measure of angle A is 65 degrees.
Let the measure of angle B be \( y \) degrees.
The complement of angle B is \( 90 - y \) degrees, and the supplement of angle B is \( 180 - y \) degrees.
According to the problem, the complement of angle B is 16 degrees less than half of its supplement. This gives us the equation:
\[ 90 - y = \frac{1}{2}(180 - y) - 16 \]
Let's solve for \( y \):
\[ 90 - y = 90 - \frac{y}{2} - 16 \]
Simplify the right side of the equation:
\[ 90 - y = 74 - \frac{y}{2} \]
To eliminate the fraction, multiply every term by 2:
\[ 2(90 - y) = 2(74 - \frac{y}{2}) \]
\[ 180 - 2y = 148 - y \]
Combine like terms:
\[ 180 - 148 = 2y - y \]
\[ 32 = y \]
So, the measure of angle B is 32 degrees.
love and hate relationship sa number series, sequence 🤣🤭😇💓. Sana po 🙏🏻
Thank you, Coach! ❤
Hopefully magkacollab lahat ng nagtuturo ng CSC daming comparison ng iba na babasa ko na kesyo masmagaling magturo si ganito etc nakakaheart break lng. Sana kung magkaroon man magcollab lahat ng nagtuturo ng CSC content creator. LEONALYN, TEAM LYCA, BRAINBOX ❤️
Same lang iniaim ng mga to makatulong at makapasa lahat ❤️
Good evening po! Liza from san jose, dinagat islands
Good evening po mam
From.iligan city
Watching from sorsogon❤
Let the measure of the first angle be \( x \) degrees.
The second angle is twice the first, so it is \( 2x \) degrees.
The third angle is thrice the first, so it is \( 3x \) degrees.
Let the measure of the fourth angle be \( y \) degrees.
The sum of the angles in any quadrilateral is \( 360 \) degrees. Therefore, we have:
\[ x + 2x + 3x + y = 360 \]
Simplifying, we get:
\[ 6x + y = 360 \]
Since we are only given the relationship between the first three angles, we need to make an assumption about the fourth angle in order to solve for \( x \). If we assume the fourth angle is equal to the first angle (i.e., \( y = x \)), we can solve the equation:
\[ 6x + x = 360 \]
\[ 7x = 360 \]
\[ x = \frac{360}{7} \]
\[ x \approx 51.43 \]
So, the measure of the first angle is approximately \( 51.43 \) degrees.
If the assumption about the fourth angle being equal to the first angle isn't correct, we'd need more information to determine the exact measure of the first angle.
thankyou po maam lyqa
Good evening po..newbie sa page
Good evening ma'am
From: Iloilo
Good evening po from palo leyte
Good evening po from Lipata Surigao delnorte
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45
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watching from samar
From biliran here🥰
💗🌈 Iloilo 😇🙏🏻🙏🏻🙏🏻
Hello po team lyqa from Leyte here
From angono rizal
From batangas city po
more age problem and work problems din po
Abra
From Nabunturan
Cotabato city
Davao city
Mam bakit po naging minus x ang complementary
Pano Po Maka avail Ng textbook
mo maam
Pangasinan Mam
Cotabato city