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In ΔABC below, AB ≌ BC, and the measure of ∠B is 55°. What is the measure of ∠C?
- a)27.5°
- b)55°
- c)62.5°
- d)125°
- e)Cannot be determined from the given information
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In ΔABC below, AB BC, and the measure of ∠B is 55°. Wha...
To solve this problem, use the fact that since AB ≌ BC, triangle ABC is isosceles. In isosceles triangles, the angles opposite equal sides have equal measure. In this triangle, since angles A and C are opposite sides AB and BC, they have equal measure. Because the sum of the angles in a triangle is always 180°, the sum of the measures of angles A and C is 180° less the measure of angle B, or 180° - 55° = 125°. Therefore, since angles A and C have equal measure, they both equal 125°/2 = 62.5°.
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In ΔABC below, AB BC, and the measure of ∠B is 55°. What is the measure of ∠C?a)27.5°b)55°c)62.5°d)125°e)Cannot be determined from the given informationCorrect answer is option 'C'. Can you explain this answer?
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In ΔABC below, AB BC, and the measure of ∠B is 55°. What is the measure of ∠C?a)27.5°b)55°c)62.5°d)125°e)Cannot be determined from the given informationCorrect answer is option 'C'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about In ΔABC below, AB BC, and the measure of ∠B is 55°. What is the measure of ∠C?a)27.5°b)55°c)62.5°d)125°e)Cannot be determined from the given informationCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In ΔABC below, AB BC, and the measure of ∠B is 55°. What is the measure of ∠C?a)27.5°b)55°c)62.5°d)125°e)Cannot be determined from the given informationCorrect answer is option 'C'. Can you explain this answer?.
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