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In triangle $ABC$, the measure of angle $A$ is $50^{\\circ}$. If triangle $ABC$ is isosceles, which of the following is NOT a possible measure of angle $B$ ?

","hasPart":{"@type":"Question","typicalAgeRange":"12-22","educationalAlignment":[{"@type":"AlignmentObject","alignmentType":"educationalSubject","targetName":"SAT"},{"@type":"AlignmentObject","alignmentType":"educationalLevel","targetName":"SAT","educationalFramework":"Common Core","targetUrl":"https://classnotes.xyz/mcqs/sat-math-geometry-and-trigonometry-multiple-choice-question-24"}],"about":{"@type":"Thing","name":"Math, Geometry and Trigonometry, Duplicate"},"educationalLevel":"intermediate","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","assesses":["Math","Geometry and Trigonometry","Duplicate"],"name":"

In triangle $ABC$, the measure of angle $A$ is $50^{\\circ}$. If triangle $ABC$ is isosceles, which of the following is NOT a possible measure of angle $B$ ?

","comment":{"@type":"Comment","text":"

Choice D is correct. The sum of the three interior angles in a triangle is $180^{\\circ}$. It's given that angle A measures $50^{\\circ}$. If angle B measured $100^{\\circ}$, the measure of angle C would be $180^{\\circ}-(50^{\\circ}+100^{\\circ})=30^{\\circ}$. Thus, the measures of the angles in the triangle would be $50^{\\circ},100^{\\circ}$, and $30^{\\circ}$. However, an isosceles triangle has two angles of equal measure. Therefore, angle B can't measure $100^{\\circ}$.

Choice A is incorrect. If angle B has measure $50^{\\circ}$, then angle C would measure $180^{\\circ}-(50^{\\circ}+50^{\\circ})=80^{\\circ}$, and $50^{\\circ},50^{\\circ}$, and $80^{\\circ}$ could be the angle measures of an isosceles triangle. Choice B is incorrect. If angle B has measure $65^{\\circ}$, then angle C would measure $180^{\\circ}-(65^{\\circ}+50^{\\circ})=65^{\\circ}$, and $50^{\\circ},65^{\\circ}$, and $65^{\\circ}$ could be the angle measures of an isosceles triangle. Choice C is incorrect. If angle B has measure $80^{\\circ}$, then angle C would measure $180^{\\circ}-(80^{\\circ}+50^{\\circ})=50^{\\circ}$, and $50^{\\circ},80^{\\circ}$, and $50^{\\circ}$ could be the angle measures of an isosceles triangle.

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In triangle $ABC$, the measure of angle $A$ is $50^{\\circ}$. If triangle $ABC$ is isosceles, which of the following is NOT a possible measure of angle $B$ ?

","suggestedAnswer":[{"@type":"Answer","position":0,"encodingFormat":"text/html","text":"

$50^{\\circ}$

"},{"@type":"Answer","position":1,"encodingFormat":"text/html","text":"

$65^{\\circ}$

"},{"@type":"Answer","position":2,"encodingFormat":"text/html","text":"

\$80^{\\circ}\$

"}],"acceptedAnswer":{"@type":"Answer","position":3,"encodingFormat":"text/html","text":"

$100^{\\circ}$

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"}}},"url":"https://classnotes.xyz/mcqs/sat-math-geometry-and-trigonometry-multiple-choice-question-24"}

In triangle $ABC$, the measure of angle $A$ is $50^{\circ}$. If triangle $ABC$ is isosceles, which of the following is NOT a possible measure of angle $B$ ?