Answer
$m\angle{1} = 110^o
\\m\angle{2} = 70^o
\\m\angle{3} = 110^o$
Work Step by Step
RECALL:
(1) Vertical angles have equal measurements.
(2) Supplementary angles have a sum of 180 degrees.
The 70-degree angle and angle 2 are vertical angles, so they have the same measurement.
Thus, $m\angle{2} = 70^o$.
Angles 1 and 2 are supplementary, so their sum is 180 degrees.
Thus,
$m\angle{1}= 180^o- m\angle{2}=(180-70)^o=110^o$
Angles 1 and 3 are vertical angles, so they have equal measurements.
Thus,
$m\angle{3} = 110^o$.
