Question

Assume LaTeX: \angle∠A and LaTeX: \angle∠B are complementary. Find mLaTeX: \angle∠A if it is 14 more than LaTeX: \angle∠B.

Answer 1

`A = 52`

Explanation:

Given

`A = 14 + B`

Required

Find A

Since both angles are complementary; then:

`A + B = 90`

Solve for B in
`A = 14 + B`

`B = A - 14`

Substitute
`B = A - 14` in
`A + B = 90`

`A + A - 14 = 90`

`2A - 14 = 90`

Solve for 2A

`2A = 90 + 14`

`2A = 104`

Solve for A

`A = 104/2`

`A = 52`