Question

What is the mZACB?

O 10°
B
O 50°
(4x)
O 90°
O 180°
(7x-20)
C

Answer 1

50 degrees

Explanation:

The total sum of angles in a triangle is 180, thus the value of ∠ACB will be obtained as follows:

Given that the triangle is a right triangle, the sum of angles will be:

(4x)°+(7x-20)°+90=180

simplifying and solving for x we get:

4x+7x-20+90=180

11x=180+20-90

11x=110

dividing both sides by 11 we get:

(11x)/11=110/11

this gives us

x=10°

Thus substituting the value of x in:

∠ACB=(7x-20)°

=(7*10-20)

=70-20

=50°

Answer: 50°