Answer
$m\angle{1} = 60^o
\\m\angle{2} = 90^o
\\m\angle{3} = 60^o$
Work Step by Step
The right angle and angle 2 are vertical angles.
This means that they have the same measurements.
Thus,
$m\angle{2} = 90^o$.
The 30-degree angle and angle 1 are complementary angles, so their sum is 90 degrees.
Thus,
$m\angle{1}=90^o-30^o
\\m\angle{1}=60^o$
Angles 1 and 3 are vertical angles, so their measurements are the same.
Thus,
$m\angle{3} = m\angle{1} = 60^o$
