Question

Use the picture to solve for angle y

D
Z
х
116
y
A
С
B
64
ООО
32
16

Answer 1

9514 1404 393

Answer:

y = 32°

Explanation:

Angle y is one of two congruent base angles in the isosceles triangle BCD that has angle B as its third angle:

2y + 116° = 180° . . . . . . . sum of angles in a triangle

y + 58° = 90° . . . . . . . . divide by 2

y = 32° . . . . . . . . . . . . subtract 58°

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To those of you copying this answer: the question here asks for angle y. The other variables can be found from ...

x = 2y = 64° . . . . . . . the arc is twice the measure of the inscribed angle

z = ∠CBD = 116°