Question

If angle M is represented by x + 16 and angle G is represented by

X – 40, and angles M and G are complementary, what is the
measure of angle M?

Answer 1

the measure of angle M is 73 degrees

Explanation:

the sum of complementary angles is 90 degrees. so set up the equation as:

x+16+x-40=90

combine like terms and you get:

2x-24=90

add 24 on both sides and you get:

2x=114

divide by 2 on both sides to isolate x and you get:

x=57

since the equation for angle M is x+16, you substitute 57 for x and you get:

M=57+16

M=73