Answer:
m∠Q=115°
Explanation:
First, we have from the diagrams that:
m∠N =20 degrees, m∠P = 45 degrees.
Angle L is congruent to Angle P, therefore:
m∠P = m∠L = 45 degrees
Similarly, Angle N is congruent to Angle R, therefore:
m∠N = m∠R =20 degrees.
In Triangle PQR
m∠P + m∠Q + m∠R =180 degrees (Sum of angles in a triangle)
45°+m∠Q+20°=180°
m∠Q+65°=180°
m∠Q=180°- 65°
m∠Q=115°
The measure of Angle Q is 115 degrees.
