Question

An angle $\angle$ XYZ = ${75}^{\circ }$ is bisected by an angle bisector $YU$, then the measure of $\angle$ UYZ is

• A. ${37}^{\circ }$
• B. ${37.5}^{\circ }$
• C. ${47.5}^{\circ }$
• D. ${47}^{\circ }$

Answer 1

The correct option is B ${37.5}^{\circ }$

Bisecting means dividing into half.
So, if $\angle XYZ={75}^o$ is bisected by an angular bisector $\overline{YU}$ then the measure of $\angle UYZ$ is

$\frac{{75}^o}{2}={37.5}^o$