Question

How do i solve ∠A and

∠
�
∠B are complementary angles. If
m
∠
�
=
(
5
�
−
11
)
∘
m∠A=(5x−11)
∘
and
m
∠
�
=
(
6
�
+
2
)
∘
m∠B=(6x+2)
∘
, then find the measure of
∠
�
∠A.

Answer 1

A = 34°

Explanation:

You want the measure of angle A of complementary angles A and B such that A=(5x-11) and B=(6x+2).

Complementary angles

Complementary angles total 90°:

A + B = 90

(5x -11) +(6x +2) = 90

11x = 99 . . . . . . . . . . . . . add 9

x = 9 . . . . . . . . . divide by 11

A = 5x -11 = 5(9) -11 = 34

The measure of angle A is 34°.

__

Additional comment

B = 6(9) +2 = 56°, the complement of 34°.