Question

Find the value of $x$ in the diagram below.

Answer 1

$\because l\parallel m$

$\therefore \angle Q=130°$

In $△ABC$

$\angle ABC=180°-Q$

$\angle ABC=50°$

$\angle BAC=90°$

$\therefore$ In $△ABC,$

$\angle ABC+\angle BAC+\angle ACB=180°$

$\angle ACB=180°-(90+50)$

$\angle ACB=40°$

$\therefore x=40°$ (vertically opposite Angles)