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nikitadnepr [17]
3 years ago
11

I need this answer pleaseee:(

Mathematics
1 answer:
Yakvenalex [24]3 years ago
5 0

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°

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