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Find the measure of

Find the measure of-example-1
User Davyzhu
by
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1 Answer

2 votes

Answer: 77°

Explanation:

First we are going to find x and then insert it in 18x +5 to be able to get our <WZX

But to find x, we will have to apply the the exterior angle theorem

The exterior angle theorem state that : the exterior angle is equal to the sum of the two opposite interior anges

Using this theorem, then from the diagram above ;

18x + 5 = 48 + 8x - 3

we collect like term

18x - 8x = 48-3-5

10x = 40

Divide bothside by 10

10x/10 = 40/10

x = 4

but <WZX = 18x + 5

Then we substitute x=4

<WZX = 18(4) + 5

<WZX = 72 +5

<WZX =77

Therefore the measure of <WZX is 77°

User Sharpper
by
5.7k points