Share
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.
in progress
0
Mathematics
3 years
2021-08-12T11:37:00+00:00
2021-08-12T11:37:00+00:00 2 Answers
15 views
0
Answers ( )
Answer:
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!
Answer:
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°