Question

22 multiple choice 3 points what is the measure of the missing angle (angle x)? 135 degrees 180 degrees 90 degrees 45 degrees

Explanation:

Step1: Recall angle - pair relationship

The 135 - degree angle and angle \(x\) are supplementary angles (they form a linear pair).

Step2: Use the supplementary - angle formula

Supplementary angles add up to 180 degrees. So \(x + 135=180\).

Step3: Solve for \(x\)

Subtract 135 from both sides of the equation: \(x=180 - 135\).
\(x = 45\)

Answer:

45 degrees