1. Angles of Triangles
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Use the Triangle Angle-Sum Theorem.
30
We have been given the measures of the two angles of a triangle, 120 and 30. We will find the measure of the third angle using the Triangle Angle-Sum Theorem. This theorem tells us that the measures of the interior angles of a triangle must add to 180^(∘). Let's add some labels to the given diagram.
We can solve the equation for the measure of ∠1.
The measure of the angle numbered with 1 is 30^(∘).