Use 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°

Question

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:

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

Here, the values are 34.6° and 52.8°.

First, calculate the sum of the two given angles:

\[ 34.6° + 52.8° = 87.4° \]

Now, subtract this sum from 180° to find the third angle:

\[ \text{Third angle} = 180° - 87.4° = 92.6° \]

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