Answer:
Given - A triangle PMQ
To find - Measure of Q and N
Solution -
In triangle PMQ
Angle p = 37°
Angle M = 78°
Using Angle sum property of triangle :
Sum of all angles of a triangle = 180°
Angle M + Angle p + Angle N = 180°
78 + 37 + N = 180°
115 + N = 180°
N = 180 - 115
N = 65°
In triangle PQR
Angle p = 37°
Angle R = 65°
Using Angle sum property
Sum of all angles of a triangle = 180°
Angle p + Angle R + Angle Q = 180°
37 + 65 + Q = 180°
102 + Q = 180
Q = 180 - 120
Q = 60°
