97.6k views
24 votes
What is the value of x?

What is the measure of

What is the value of x? What is the measure of-example-1

1 Answer

5 votes

Answer:

x is 10

Explanation:

Form the diagram, you can see that UV is parallel to TS, this means that <UVS = < UTS

Given

<UVS = 5x + 38

<UTS = 12x - 28

Since the sum of opposite angle of a quadrilateral is 180 degrees, hence;

5x + 38 + 12x - 28 = 180

Collect like terms

5x + 12x - 28 + 38 = 180

17x + 10 = 180

17x = 180-1-

17x = 170

x = 170/17

x = 10

hence the value of x is 10

User Nigel Tufnel
by
6.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.