please answer this question
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Answer:
angle AMB & AMC are in linear pair
And linear pair = 180°
If
AMB + AMC = 180°
90° + AMC = 180°
AMC = 180°-90°
AMC = 90°
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Step-by-step explanation:
let angle BAM=x the angle A=2x, angleA+angleB+angleC=180, since, A=B=C therefore, 2x+2x+2x=180, x=30, angle B=2x=2×30=60, in triangleAMB, angleBAM+angleB+angleAMB=180 30+60+AMB=180, therefore, angleAMB=90=angleAMC, hence proved
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