Set 11: Linear Equations (Intermediate)

Explanation

Answer: D

In an isosceles triangle, two angles are equal. If the vertex angle is $40^\circ$ and the base angles are $2x$ , what is $x$ ?

✓ Correct

Detailed Explanation

Choice D is correct. Choice B is the correct answer. 1. Equation: $40+ 2 x + 2 x = 180$ (2. Combine: $40+ 4 x = 180$ 3. Subtract 40: $4x = 140$ 4. Divide by 4: $x = 35$ 5. Verify: $40+ 70 + 70 = 180$ ✓ Choice C is incorrect because it results from an error in the solution process. Choice B 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 35

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.

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

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