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.



(2 points)
Responses

155°
155°

205°
205°

65°
65°

55°
55°
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1 answer

To find the measure of angle C, we need to first find the measures of angles A and B.

Let's assume angle A is 55°.

Since the sum of the angles in a triangle is 180°, we can find the measure of angle B by subtracting the measures of angles A and C from 180°:

180° - 55° - C = B

Now, we know that angle B is 85°.

Finally, we can find the measure of angle C by subtracting the measures of angles A and B from 180°:

180° - 55° - 85° = C

C = 40°

Therefore, the measure of angle C is 40°.

Answer: 40°