The Triangle Angle Sum Theorem states that the sum of the angles inside a triangle must equal 180°. Using this theorem, find the measure of angle C
-155
-205
-65
-55
To find the measure of angle C, we first need to find the measures of angles A and B.
Let's assume angle A has a measure of 155°.
Now, using the Triangle Angle Sum Theorem, we know that the sum of the three angles in a triangle must equal 180°.
So, angle B + angle C + angle A = 180°
Angle B + angle C + 155° = 180°
Angle B + angle C = 180° - 155°
Angle B + angle C = 25°
Now, since angles B and C are supplementary angles (they add up to 180°), we can say that:
Angle B = 205° - 155°
Angle B = 50°
Now we can plug the value of angle B back into the equation to find the measure of angle C:
50 + angle C = 25
angle C = 25 - 50
angle C = -25°
So, the measure of angle C is -25°.
bot choose on of the answers provided
-55
The measure of angle C is -55°.