Answer:
m∠LMN = 26°
Step-by-step explanation:
Since ∠LMN and ∠PQR are complementary it means that the sum of their angles is 90°
To find m∠LMN , add both m∠LMN and m∠PQR and equate it to 90 to find x then substitute the value of x into the expression for m∠LMN
That's
m∠LMN + m∠PQR = 90
4x - 2 + 9x + 1 = 90
13x - 1 = 90
13x = 90 + 1
13x = 91
Divide both sides by 13
x = 7
From the question
m∠LMN = (4x-2)
m∠LMN = 4(7) - 2 = 28 - 2
We have the final answer as
m∠LMN = 26°
Hope this helps you
