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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