Question 6 Answer & Explanation - SAT Algebra

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algebra

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 Answer: D

Choice Choice B is the correct answer.

Equation: $40 + 2x + 2x = 180$ (Wait, base angles are usually denoted as just $x$ each, but here the base angle measure is $2x$ . So $40 + 2x + 2x = 180$ )
Combine: $40 + 4x = 180$
Subtract 40: $4x = 140$
Divide by 4: $x = 35$
Verify: $40 + 70 + 70 = 180$ ✓

Choice Choice C is incorrect because calculation error.

Choice Choice B is incorrect because calculation error.

Choice Choice A is incorrect because calculation error.

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