Use the Triangle Angle Sum Theorem to find the largest angle in a triangle with angle measures of (x−20)° , (3x+3)° , and (2x−7)° .(1 point)

Question

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Answer 1

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

So, we can write an equation using the given angle measures:

(x-20) + (3x+3) + (2x-7) = 180

Now, solve for x:

x - 20 + 3x + 3 + 2x - 7 = 180
6x - 24 = 180
6x = 204
x = 34

Now, plug in x to find the measure of the largest angle:

2x - 7 = 2(34) - 7 = 68 - 7 = 61

So, the largest angle in the triangle is 61°.

Answer 2

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