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help please find the measurements of angle W

Help Please Find The Measurements Of Angle W class=

Sagot :

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°

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