Question

angle <1 and angle <2 are complementary angles. The measure of angle <1 is 70 degrees. The measure of angle <2 is 2x degrees. Find the value of x. The figure is not drawn to scale.

Answer 1

x= 10

Explanation:

Complementary angles add to 90 degrees

<1 + <2 = 90

70 +2x = 90

Subtract 70 from each side

70+2x-70 =90-70

2x = 20

Divide each side by 2

2x/2 = 20/2

x = 10