Mathematics

In the given figure, $$PQ || RT$$. Find the value of $${a} + {b}$$. 


SOLUTION
applying angle sum property in triangle PQR,

$$ \angle PRQ+\angle RQP+\angle QPR=\quad 180^{ O } $$

$$\angle PRQ+45^{ O }+55^{ O }=\quad 180^{ O }$$

 $$\angle PRQ=\quad 80^{ O } $$

$$ \angle PRQ+\angle QRT+\angle TRS=\quad 180^{ O } $$ (angles forming a straight line)

$$ 80^{ o }+a+b=180^{ o } $$

$$ a+b=100^{ o } $$
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Subjective Medium Published on 09th 09, 2020
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