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

Answer:

$A = 52$

Step-by-step 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

$A = 104/2$

$A = 52$