Question

23 points
What is the measure of angle 1? 2 parallel lines are crossed by a transversal to form 8 angles. Clockwise from top left, the angles are blank, 92 degrees, blank, blank; blank, 2, 1, blank. 86° 88° 90° 92°

Answer 1

The measure of angle 1 is 88°.

Explanation

when we draw the system of parallel lines and a transversal , we find that 92° and <2 are corresponding angles.

In a system of parallel lines intersected by a transversal, the corresponding angles will be equal.

<2=92°

< and <2 form a linear pair and their sum will be equal to 180°.

<1+<2=180°

<1+92°=180°

<1=180-92=88°