Given and Proves

Question

Given <1 = <4

Prove <2 = <3. ^ ^

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pictured angles <—1\2—3/4—>

Answer 1

Thank you for the diagram, it was enough!!!

horizontal line l contains DISTINCT point P and Q.

angles 1 and 2 share vertex P and angles 3 and 4 share vertex Q.

Then angles 1 and 2 are supplementary and angles 3 and 4 are supplementary

angle 1 + angle 2 = 180 = angle 3 + angle 4

angle 2 = angle3 by subtraction property of equality