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2 votes
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.

1 Answer

2 votes

Answer:

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°.

User Eugeny Pavlenko
by
8.1k points