Triangle Angle Sum Theorem Practice

Question

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Question
Use the Triangle Angle Sum Theorem to find the measure of the third angle if the first and second angle measure 63°
and 40°

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 following formula:

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

In this case, the first angle is 63° and the second angle is 40°.

\[ \text{Third angle} = 180° - (63° + 40°) \]

Calculating the sum of the first and second angles:

\[ 63° + 40° = 103° \]

Now, subtract this from 180°:

\[ \text{Third angle} = 180° - 103° = 77° \]

Therefore, the measure of the third angle is 77°.