Question

Find the measure of each angle listed below.

Answer 1

<P 40, <Q 25, <PRQ 115, <PRS 65

Explanation:

exteririor angle = sum of remote angles

(3x + 4) + (2x + 1) = (6x - 7)

3x + 2x + 4 + 1 = 6x - 7

5x + 5 = 6x - 7

+7 +7

5x + 12 = 6x

-5x -5x

12 = x

x = 12

find angle mesures:

3(12) + 4

36 + 4

40

2(12) + 1

24 + 1

25

6(12) - 7

72 - 7

65

forms linear pair

65 + m<PRQ = 180

-65 -65

m<PRQ = 115