183k views
4 votes
Find the measure of

Find the measure of-example-1
User Davyzhu
by
8.4k points

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
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories