9514 1404 393
Answer:
y = 32°
Step-by-step 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°
