Triangle Angle Sum Theorem Quick Check

Question

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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

88°
88 degrees

77°
77 degrees

86°
86 degrees

87°
87 degrees
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Answer 1

To find the third angle of the triangle using the Triangle Angle Sum Theorem, we use the fact that the sum of the angles in a triangle is always 180°.

Given:

• First angle = 25°
• Second angle = 68°

Let's find the third angle:

Third angle = 180° - (First angle + Second angle) Third angle = 180° - (25° + 68°) Third angle = 180° - 93° Third angle = 87°

So the answer is 87°.