Set 11: Linear Equations (Intermediate)

Explanation

Answer: C

The angles of a triangle are $x$ , $2x$ , and $3x$ . What is the value of $x$ ?

✓ Correct

Detailed Explanation

Choice C is correct. Choice C is the correct answer. 1. Sum of Angles: $180^\circ$ 2. Equation: $x + 2 x + 3 x = 180$ 3. Combine: $6x = 180$ 4. Divide by 6: $x = 30$ 5. Verify: $30+ 60 + 90 = 180$ ✓ Choice A is incorrect because it results from an error in the solution process. Choice D is incorrect because it results from an error in the solution process. Choice A is incorrect because it results from an error in the solution process.

Key Steps:

•

The correct answer is 30

Why others are wrong:

A: Choice A is incorrect and may result from a calculation error.

B: Choice B is incorrect and may result from a calculation error.

D: Choice D is incorrect and may result from a calculation error.

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