Question

In the figure, lines intersect at O, if X = ${75}^{\circ }$ find $\angle$U

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

$\angle$X = ${75}^{\circ }$
Hence, $\angle$Z = ${75}^{\circ }$ (Vertically opposite angles)

$\angle$X + $\angle$Y = ${180}^{\circ }$ (By linear pair)

${75}^{\circ }$ + $\angle$Y = ${180}^{\circ }$

$\angle$Y = ${180}^{\circ }$ – ${75}^{\circ }$

$\angle$Y = ${105}^{\circ }$

$\angle$Y = $\angle$U (Vertically Opposite Angles)

$\angle$U = ${105}^{\circ }$