Question

A. What is m/QTR? Show your work.

SOLUTION
N
a
48
1
Q
74°
R S
110°

Answer 1

∠ QTR = 36°

Explanation:

the external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ SRT is an external angle of the triangle, then

∠ QTR + ∠ TQR = ∠ SRT , that is

∠ QTR + 74° = 110° ( subtract 74° from both sides )

∠ QTR = 36°