In triangle ABC , the measure of angle A is . If triangle ABC is isosceles, which of the following

Question

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 ?

Accepted Answer

Choice D is correct. The sum of the three interior angles in a triangle is . It&rsquo;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&rsquo;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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