Question

What is the measure of angle 1?

Answer 1

88°

Explanation:

Since we have 2 parallel lines, first we use the Corresponding Angles Postulate.

Since angle 2 is corresponding to the 92° angle,

angle 2 = 92°

Now we know that angle 1 and angle 2 are supplementary.

This means:

angle 1 + angle 2 = 180°

(substitute known values)

angle 1 + 92 = 180

(subtract 92 on both sides)

angle 1 = 88°

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