since you know the angle on the same arc as the 42 is also 42 degrees and that the two radii are making an isos traingle and that a chord makes a straight line it would be 180-15-42 which is 123 degrees not 132 isn't that the correct way to do it?
no sir. watch the video from beginning. for the larger triangle, you know one angle is 75 (angle at circumference is half that at centre). you know a second angle which is 15 + 42 = 57. so two angles of the large triangle are 75 + 57 = 132. now to find Z, you can either find the third angle of the larger triangle which is 180 - 132 = 48. so Z + 48 = 180 (angles on a straight line), hence Z = 180 - 48 = 132. in the video, I used a different method to find Z. which is that the external angle Z is equal to the sum of the two interior opposite angles of 75 + 57 = 132. either way, same answer of 132 for angle Z.
ah my bad i seemed to make an error in assuming that the angle of 42 degrees and the other angle in that quad shape was proving the angles on the same arc rule to be true but the other angle is actually 33 degrees (after calculating every other angle) and the other base angle of the isos triangle made by the two radii is also 15 degrees so 180-33-15=132 degrees for angle Z(angles on straight line) sorry about that i made a stupid mistake :D.
would you mind explaining why those 2 angles aren't proving the rule angle on the same arc is true btw? i'm interested to know because it looks like the angle in between the base angle of the isos triangle and angle z is on the same arc as the angle that is 42 degrees.
I have another video that is about an hour long. you should take a look at it. angle y is the base angle of the smaller triangle which is an isosceles triangle indeed. however, for the rule regarding the arc, let me state it: "angles at the circumference subtended or standing on the same arc or chord are equal". so if you notice two angles at the circumference, their arms or legs (whatever you refer to it as) must be coming from the same two points on an arc or chord. look at a video with this rule I just stated, then come back to this video. if you still think that rule can be applied in this problem, then maybe we should link up on a social media where we can communicate more instantaneously.
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Z=132deg,y=15deg.x=75 deg.
75-42=33 and z=180-33-15
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Y=30/2=15deg.,x=150/2=75 deg.z=43+15+75=133deg
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Also equal to 132
since you know the angle on the same arc as the 42 is also 42 degrees and that the two radii are making an isos traingle and that a chord makes a straight line it would be 180-15-42 which is 123 degrees not 132 isn't that the correct way to do it?
no sir. watch the video from beginning.
for the larger triangle, you know one angle is 75 (angle at circumference is half that at centre). you know a second angle which is 15 + 42 = 57. so two angles of the large triangle are 75 + 57 = 132. now to find Z, you can either find the third angle of the larger triangle which is 180 - 132 = 48. so Z + 48 = 180 (angles on a straight line), hence Z = 180 - 48 = 132. in the video, I used a different method to find Z. which is that the external angle Z is equal to the sum of the two interior opposite angles of 75 + 57 = 132. either way, same answer of 132 for angle Z.
ah my bad i seemed to make an error in assuming that the angle of 42 degrees and the other angle in that quad shape was proving the angles on the same arc rule to be true but the other angle is actually 33 degrees (after calculating every other angle) and the other base angle of the isos triangle made by the two radii is also 15 degrees so
180-33-15=132 degrees for angle Z(angles on straight line) sorry about that i made a stupid mistake :D.
that's okay. I'm happy you shared your thoughts. at least, you got it clarified :D cheers!
would you mind explaining why those 2 angles aren't proving the rule angle on the same arc is true btw? i'm interested to know because it looks like the angle in between the base angle of the isos triangle and angle z is on the same arc as the angle that is 42 degrees.
I have another video that is about an hour long. you should take a look at it.
angle y is the base angle of the smaller triangle which is an isosceles triangle indeed. however, for the rule regarding the arc, let me state it: "angles at the circumference subtended or standing on the same arc or chord are equal".
so if you notice two angles at the circumference, their arms or legs (whatever you refer to it as) must be coming from the same two points on an arc or chord.
look at a video with this rule I just stated, then come back to this video. if you still think that rule can be applied in this problem, then maybe we should link up on a social media where we can communicate more instantaneously.
what is the formula?
Circle theory mathematics WASSCE Examination
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