Questions: What is the value of x? A. 24 B. 33 C. 72 D. 75

What is the value of x?
A. 24
B. 33
C. 72
D. 75
Transcript text: Sawas Realize savvasrealize.com/dashboard/classes/331bffe829884c998d92672a1b2218bf ADVANCED GEOMETRY: SECTION 6-3 (LMS) Mid-Year Assessment Fall 2024 (LMS graded) What is the value of $x$ ? A. 24 B. 33 C. 72 D. 75 Review Progress
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Solution

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Solution Steps

Step 1: Sum of Angles in a Triangle

The sum of the angles in any triangle is 180°. Therefore, we can set up the equation: x + 2x + (2x + 15) = 180

Step 2: Simplify and Solve for x

Combine like terms: 5x + 15 = 180

Subtract 15 from both sides: 5x = 165

Divide both sides by 5: x = 33

Final Answer

B. 33

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