Use the Triangle Angle Sum Theorem to find the third angle of a triangle if the other two angles measure 25°

Question

and 68°
. (1 point)
Responses

86°
86 degrees

77°
77 degrees

87°
87 degrees

88°

Answer 1

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

Given two angles measuring \(25^\circ\) and \(68^\circ\), we can find the third angle as follows:

1. First, add the two known angles: \[ 25^\circ + 68^\circ = 93^\circ \]

2. Next, subtract this sum from 180 degrees to find the third angle: \[ 180^\circ - 93^\circ = 87^\circ \]

Therefore, the third angle measures \(87^\circ\).

So the answer is: 87°