Question

Find the measure of the indicated angles.

complementary angles with measures 2x - 2 and 5x – 13

Answer 1

1st angle is 28° and the 2nd angle is 62°

Explanation:

Complementary angles mean that the angles add up to 90 so:

2x - 2 + 5x - 13 = 90

7x - 15 = 90

7x = 90 + 15

7x = 105

x = 15

Plugging in:

2x - 2

2(15) - 2

30 - 2

28

5x - 13

5(15) - 13

75 - 13

62