Chapter 10: Inscribed Angles and Polygons

Question

Find the value of y.

x= 30

y= ___

Answer 1

Angles X, Y, and Z are the interior angles of a triangle, so they must sum to 180°.

m∠X + m∠Y + m∠Z = 180°

You are given that:

1. m∠X = 34°
2. x = 30 and m∠Y = 3x = 90°
3. m∠Z = 2y

m∠X + m∠Y + m∠Z = 180°

34 + 90 + 2y = 180°

Solve for y.

Answer 2

2y = 90° - 34°