Question

Find the unknown angles in the figure:- Give reason

Answer 1

$a=b\left(angleoppositetoequalsides\right)$

$\angle P+\angle Q+\angle R={180}^0\left(byanglesumproperty\right)$

$={80}^0+a+a={180}^0$

$2a+100$

$a={50}^0$

$so,a=b={50}^0$

$\angle SRQ=\angle RPQ=\angle PQR\left(Exteriorangleproperty\right)$

$c={180}^0+a$

$c={80}^0+{50}^0$

$c={130}^0$