Finding Missing Angles from Intersecting Lines

Given that angle 1 measures 113 degrees, use vertical and supplementary angle properties to find the measures of angles 2, 3, and 4.

Answer

Based on the image provided, we have two intersecting lines forming four angles. We are given that

Find using vertical angles:
and are vertical angles, so they are equal.
Find using supplementary angles:
and form a linear pair, so they are supplementary (sum to ).
Find using vertical angles or supplementary angles:
is vertical to , or supplementary to .

Final Answers:

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Finding Missing Angles from Intersecting Lines

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