Question

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

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Answered by GPT 3.5
In this case, let's denote the measure of angle C as x.

According to the Triangle Angle Sum Theorem, the sum of the three angles in a triangle must be 180°. Therefore, we can set up the equation:

angle A + angle B + angle C = 180

Given that angle A = 40° and angle B = 70°, we can substitute these values into the equation:

40 + 70 + x = 180

110 + x = 180

Subtracting 110 from both sides:

x = 70

Therefore, the measure of angle C is 70°.

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