Triangle Angle Sum Theorem Quick Check%0D%0A1 of 51 of 5 Items%0D%0A%0D%0AQuestion%0D%0AUse the Triangle Angle Sum Theorem to find the third angle of a triangle if the other two angles measure 25° and 68°. (1 point)%0D%0AResponses%0D%0A%0D%0A86°%0D%0A86 degrees%0D%0A%0D%0A77°%0D%0A77 degrees%0D%0A%0D%0A88°%0D%0A88 degrees%0D%0A%0D%0A87°
To find the third angle of a triangle, we can use the Triangle Angle Sum Theorem, which states that the sum of the angles in a triangle is always 180°.
Given that two angles measure 25° and 68°, we can find the third angle by subtracting the sum of these two angles from 180°.
Third angle = 180° - (25° + 68°)
Third angle = 180° - 93°
Third angle = 87°
Therefore, the third angle of the triangle measures 87°.