the sum of all the angles = 180
13x-11 + 8x-9 + 30x-4 =180
51x-24 = 180
51x = 204
x=4
w= 8x-9= 8×4-9
= 2e°
Answer:
23°
Step-by-step explanation:
First, note that the sum of angles in a triangle is 180°.
So, m∠W + m∠B + m∠T = 180°
Substitute the measures.
(8x - 9) + (13x - 11) + (30x - 4) = 180
Simplify.
8x + 13x + 30x - 9 - 11 - 4 = 180
51x - 24 = 180
Add 24 to both sides.
51x = 204
Divide both sides by 51.
x = 4
Then, substitute x = 4 into m∠W
8x - 9 = 8 * 4 - 9 = 32 - 9 = 23°
So, m∠W = 23°
