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

77°
77 degrees

88°
88 degrees

86°

1 answer

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

Given two angles measuring 25° and 68°, we can find the third angle by subtracting the sum of the two angles from 180°.

First, calculate the sum of the two angles:

\[ 25° + 68° = 93° \]

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

\[ 180° - 93° = 87° \]

Thus, the measure of the third angle is 87°.

The correct response is 87°.

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