Question

In the figure, PQ is parallel to ST. AB is a straight line. Find $\angle$BST.

• A. ${110}^o$
• B. ${125}^o$
• C. ${152}^o$
• D. ${98}^o$

Answer 1

Answer: (A)

${110}^o$

PQ is parallel to ST

$\angle PQS=\angle QST={98}^{\circ }$

$\angle AST+{28}^{\circ }=\angle QST={98}^{\circ }$

$\angle AST={70}^{\circ }$

ASB is a linear line

$\angle AST+\angle BST=\angle ASB={180}^{\circ }$

$\Rightarrow \angle BST={180}^{\circ }-{70}^{\circ }$

$\Rightarrow \angle BST={110}^{\circ }$