Question

se the Triangle Angle Sum Theorem to find the measure of the third angle of the triangle if the measure of two angles are 34.6°
and 52.8°
.(1 point)
°

Answer 1

The Triangle Angle Sum Theorem states that the sum of the angles in a triangle is always 180 degrees.

To find the measure of the third angle, you can use the formula:

\[
\text{Third Angle} = 180° - (\text{First Angle} + \text{Second Angle})
\]

Given the two angles:

First Angle = 34.6°
Second Angle = 52.8°

Now, plug in the values:

\[
\text{Third Angle} = 180° - (34.6° + 52.8°)
\]
\[
\text{Third Angle} = 180° - 87.4°
\]
\[
\text{Third Angle} = 92.6°
\]

So, the measure of the third angle is **92.6°**.