Question

1. what is the measure of angle 1 in the picture below? 90 degrees 135 degrees 45 degrees 225 degrees

Explanation:

Step1: Identify angle - relationship

The given angle of 135° and angle 1 are supplementary angles (they form a straight - line).

Step2: Use supplementary - angle formula

The sum of supplementary angles is 180°. Let the measure of angle 1 be \(x\). Then \(x + 135^{\circ}=180^{\circ}\).

Step3: Solve for angle 1

\(x=180^{\circ}- 135^{\circ}=45^{\circ}\)

Answer:

45 degrees