Question

Please help ASAP!
Two
angles, ZJ and ZK are supplementary. The measure of ZJ is (2x+5)°. The
measure of ZK is (3x-10)°. What is the measure of ZK?

Answer 1

Answer:

ZK = 95 degrees

Step-by-step explanation:

Supplementary angles are when the sum of 2 angles equals 180 degrees. Since ZJ and ZK are supplementary, we can add both of them to equal 180 degrees.

ZJ + ZK = 180

Our first objective: find the value of x

(2x + 5) + (3x - 10) = 180

2x + 5 + 3x - 10 = 180

Combine like terms

5x - 5 = 180

Add 5 to both sides to isolate variable x

5x = 175

Divide both sides by 5 to isolate variable x

x = 35

Plug in x value for ZK expression

3(35) - 10

Use PEMDAS

105 - 10

95