Question

what is the measure of angle 1?
$86^circ$
$88^circ$
$90^circ$
$92^circ$

Explanation:

Step1: Identify corresponding angles

The two lines with red marks are parallel, so the 92° angle and angle 2 are corresponding angles, meaning $m\angle2 = 92^\circ$.

Step2: Find supplementary angle pair

Angle 1 and angle 2 form a linear pair (supplementary, sum to 180°).
$m\angle1 + m\angle2 = 180^\circ$

Step3: Calculate angle 1 measure

Substitute $m\angle2 = 92^\circ$ into the equation:
$m\angle1 = 180^\circ - 92^\circ$
$m\angle1 = 88^\circ$

Answer:

88° (Option: 88°)