Question

Ifangle1∠ 1 and angle2∠ 2 are complementary, find the measure of x and the measures of the angles when LaTeX: m\angle1=\left(6x+5\right)^\circm ∠ 1 = ( 6 x + 5 ) ∘ and LaTeX: m\angle2=\left(8x+15\right)^\circm ∠ 2 = ( 8 x + 15 ) ∘ ?

Answer 1

x = 5

Explanation:

The sum of two complementary angle is 90 degrees. Given the following complementary angles;

<1 = 6x + 5

<2 = 8x + 15

<1 + <2 = 90 (complementary angles)

6x + 5 + 8x + 15 = 90

14x + 20 = 90

14x = 90-20

14x = 70

x = 70/14

x = 5

Hence the measure of x is 5