Question

For triangle MNP shown, find the value of x and the measure of each of the three angles.

Answer 1

x=36

angle P=71

angle N=73

angle M=36

Explanation:

Answer 2

M = 36

N = 73

P = 71

Explanation:

Add the three measures together and set them equal to 180° since there are 180° in a triangle.

x + 2x + 1 + 2x - 1 = 180

5x = 180

5x/5 = 180/5

x = 36

Find N

2x + 1

2(36) + 1

72 + 1 = 73

Find P

2x - 1

2(36) - 1

72 - 1 = 71