Question

the measure of ∠rst is 46°. the measure of an angle supplementary to ∠rst is (2x)°. what is the value of x?
a. 22
b. 44
c. 67
d. 134

Explanation:

Step1: Recall supplementary - angle property

Supplementary angles add up to 180°. So, \(46 + 2x=180\).

Step2: Isolate the term with \(x\)

Subtract 46 from both sides: \(2x=180 - 46\), so \(2x = 134\).

Step3: Solve for \(x\)

Divide both sides by 2: \(x=\frac{134}{2}=67\).

Answer:

C. 67