Question

If <8 measures 112°, what is the sum of the measure of <1 and <4?

Answer 1

Answer: 224

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Angle 8 and angle 4 are congruent because of the corresponding angles theorem (assuming the lines that appear vertical actually are vertical). Whenever you have two parallel lines, the transversal cut produces pairs of congruent corresponding angles.

Angle 4 and angle 1 are congruent as they are vertical angles

So all three angles mentioned are 112 degrees.

Add up angle 1 and angle 4 and you get 112+112 = 224 as the answer