MediumMath· Geometry and Trigonometry· Lines, angles, and triangles· MCQ
In triangle ABC, the measure of angle A is . If triangle ABC is isosceles, which of the following is NOT a possible measure of angle B ?
A
B
C
D
Correct answer: D
Explanation
Choice D is correct. The sum of the three interior angles in a triangle is . It’s given that angle A measures . If angle B measured , the measure of angle C would be . Thus, the measures of the angles in the triangle would be , , and . However, an isosceles triangle has two angles of equal measure. Therefore, angle B can’t measure .
Choice A is incorrect. If angle B has measure , then angle C would measure , and , , and could be the angle measures of an isosceles triangle. Choice B is incorrect. If angle B has measure , then angle C would measure , and , , and could be the angle measures of an isosceles triangle. Choice C is incorrect. If angle B has measure , then angle C would measure , and , , and could be the angle measures of an isosceles triangle.
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id cb_question_bank:6f8813f1-d617-407a-87b3-5e93df655257 · question 901e3285 · IBN 028920-DC
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