Question

∠LMN and ∠PQR are complementary angles. Find m∠LMN if m∠LMN = (4x-2) and m∠PQR= (9X+1)

Answer 1

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