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

88°
88 degrees

87°
87 degrees

77°

Answer 1

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

To find the third angle, you can use the formula:

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

Given the two angles:

• Angle 1 = 25°
• Angle 2 = 68°

Now, substitute these values into the formula:

\[ \text{Third angle} = 180° - (25° + 68°) \] \[ \text{Third angle} = 180° - 93° \] \[ \text{Third angle} = 87° \]

Therefore, the third angle measures 87°.