#help me plss

10 messages · Page 1 of 1 (latest)

dreamy iris
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My math hw is due tmmrw and this is killing me

Screenshot_2024-05-22_204924.png
jagged cypressBOT
silver crystal
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C = 33

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Angles subtended by the same arc at the circumference are equal

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D+c = 113 (angle sum of triangle)

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D = 80

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B= 22 same reasoning as angle c

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A+ b = 67 (angle sum of triangle)

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A= 45

sour ice
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@dreamy iris Hey! The only way I found to solve this problem was by using the Inscribed Angle Theorem:
https://en.wikipedia.org/wiki/Inscribed_angle

The important part here is that:
The angle does not change as its vertex is moved to different positions on the circle.

So let's find angle C first. C is formed by the intersection of chords WY and XY.
The arc of the circle WX is equal to 2C, and by the theorem, we can move vertex Y anywhere, and the angle will stay the same. So the angle formed by chords WZ and XZ = 33° is equal to C!

With the exactly same method, B = 22, A = 45, D = 80

Inscribed angle

In geometry, an inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.
Equivalently, an inscribed angle is defined by two chords of the circle sharing an endpoint.
The inscribed angle theorem...