Question

Use the Triangle Angle Sum Theorem to find the third angle of a triangle if the other two angles measure 25°
and 68°
. (1 point)
Responses

87°
87 degrees

88°
88 degrees

77°
77 degrees

86°
86 degrees
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Answer 1

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

Given the two angles:
- Angle 1: 25°
- Angle 2: 68°

To find the third angle (let's call it Angle 3), we can use the following formula:

\[
\text{Angle 3} = 180° - (\text{Angle 1} + \text{Angle 2})
\]

Substituting the values:

\[
\text{Angle 3} = 180° - (25° + 68°)
\]

Calculating the sum of the first two angles:

\[
25° + 68° = 93°
\]

Now subtract this sum from 180°:

\[
\text{Angle 3} = 180° - 93° = 87°
\]

Therefore, the measure of the third angle is **87°**.