Question

directions: answer the three q unlock hidden questio 1. lines a and b are parallel. what is the measure of angle 1?

Explanation:

Step1: Identify angle - relationship

When two parallel lines are cut by a transversal, corresponding angles are equal. Angle 1 and the 135 - degree angle are supplementary (linear - pair of angles).

Step2: Use supplementary - angle formula

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

Step3: Solve for $x$

$x=180^{\circ}-135^{\circ}=45^{\circ}$.

Answer:

$45^{\circ}$