Questions: Exterior Angle Th... / Marotta,Antonio - Triangle Sum Theorem

Exterior Angle Th... / Marotta,Antonio - Triangle Sum Theorem
Transcript text: Exterior Angle Th... / Marotta,Antonio - Triangle Sum Theorem
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Solution

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Solution Steps

Step 1: Write the equation using the Triangle Sum Theorem

The sum of the angles in a triangle is 180°. The angles in the given triangle are x + 61, x + 61, and 80. Therefore, the equation is:

(x + 61) + (x + 61) + 80 = 180

Step 2: Simplify and solve for x

Combine like terms: 2x + 122 + 80 = 180

2x + 202 = 180

Subtract 202 from both sides: 2x = 180 - 202

2x = -22

Divide both sides by 2: x = -11

Final Answer: The value of x is -11.

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