Question

<1 and <2 are complementary angles. If M<1 = (8x+5) and M<2 = (3x+8) then find the measure of <2

Answer 1

29°

Explanation:

Angles ∠1 and ∠2 are complementary.

• Complementary angles are angles that add up to 90°.

We can write the following equation to find the value of x so that we can calculate the measure of ∠2:

8x + 5 + 3x + 8 = 90

• Add like terms.

11x + 13 = 90

• Subtract 13 from both sides.

11x = 77

• Divide both sides by 11.

x = 7

To find the measure of ∠2, we need to replace x with 7.

3×7 + 8 = 29°