Question

note: figure is not drawn to scale.
if m∠1 = 29° and m∠2 = 92°, what is m∠3?
a. 59°
b. 122°
c. 121°
d. 63°

Explanation:

Step1: Sum of triangle angles is 180°

$m\angle1 + m\angle2 + m\angle3 = 180^\circ$

Step2: Substitute known values

$29^\circ + 92^\circ + m\angle3 = 180^\circ$

Step3: Calculate m∠3

$m\angle3 = 180^\circ - 29^\circ - 92^\circ = 59^\circ$

Answer:

A. 59°