Question

Two angles are complementary. The measure of the larger angle is 14° less than 3 times the measure of the smaller angle.

The measure of the smaller angle is ____
degrees and the measure of the larger angle is ____ degrees.

Answer 1

Explanation:

Comment

2 angles are complementary means together they = 90 Degrees.

Let the smaller angle be x

The complement = 3*x - 14 It is the larger angle.

Givens

<1 = x

<2 = 3x - 14

<1 + <2 = 90

Solution

x + 3x -14 = 90 Combine the left

4x - 14 = 90 Add 14 to both sides

4x - 14+14 = 90 + 14 Combine

4x = 104 Divide both sides by 4

4x/4 = 104/4

x = 26

Answer

<1 = 26

<2 = 3*26 - 14

<2 = 78 - 14

<2 = 64