A problem by Nada Imam

Level pending

in triangle ABC , if the measure of B = A + C , then B is

reflex obtuse right acute

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3 solutions

angle sum property

A + B + C = 18 0 o A+B+C=180^{o}

2 B = 18 0 o 2B=180^{o}

B = 9 0 o \boxed {B=90^{o}}

Raina Roy
Apr 17, 2014

By angle-sum property of a triangle, <A+ <B+ <C= 180 <B+ <B= 180 .......(given, <A+<C= <B) 2<B= 180 <B= 90

Hence, <B is a right angle.

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