Question

Suppose ∠A is the complement of ∠B. Find the value of x, m∠A and m∠B if m∠A = 7x+4 and m∠B= 4x+ 9.

Answer 1

Answer:

The value of x is 7

Step-by-step explanation:

Given

∠A is the complement of ∠B

∴ ∠A + ∠B = 90°

or, m∠A + m∠B = 90

Also

m∠A = 7x + 4

and, m∠B = 4x + 9

Thus,

(7x + 4) + (4x + 9) = 90

or, 11x + 13 = 90

or, 11x = 77

⇒ x = 77/11 = 7

Therefore, the value of x is 7

Hope this helps.