## A and B are complementary angles. If m_A = (6x + 29) and m B = (x + 5)’, then find the measure of A.

Question

A and B are complementary angles. If m_A = (6x + 29) and m
B = (x + 5)’, then find the measure of A.

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3 years 2021-08-12T11:37:00+00:00 2 Answers 15 views 0

m∠°

Step-by-step explanation:

Complementary angles are a pair of angles whose measures have a sum of °. Since m∠ = and m∠ = , we can write the following equation to solve for :

Solving for , we get:

(Simplify LHS)

(Subtract from both sides of the equation to isolate )

(Simplify)

(Divide both sides of the equation by to get rid of ‘s coefficient)

Therefore, m∠°. Hope this helps!

The measurement of angle A is: 77°

Step-by-step explanation:

First of all, let us define complementary angles

The angles whose sum is 90° are called complementary angles.

Given angles are:

m∠A = 6x+29

m∠B = x+5

With respect to the definition, the sum of both angles will be 90°

Writing this mathematically we get

Putting the value of x in the expression for angle A

Hence,

The measurement of angle A is: 77°