Attached is answer .............
Answer:
3
Step-by-step explanation:
Answer:
Given - A triangle PMQ
To find - Measure of Q and N
Solution -
In triangle PMQ
Angle p = 37°
Angle M = 78°
<em><u>Using</u></em><em><u> </u></em><em><u>Angle</u></em><em><u> </u></em><em><u>sum</u></em><em><u> </u></em><em><u>property</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>triangle</u></em><em><u> </u></em><em><u>:</u></em><em><u> </u></em>
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°
<em><u>In</u></em><em><u> </u></em><em><u>triangle</u></em><em><u> </u></em><em><u>PQR</u></em><em><u> </u></em>
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°