Question

An angle $<XYZ={75}^0$ is bisected by an angular bisector $YU$ , then the measure of $<UYZ$ is ______ .

• A. ${37}^0$
• B. ${37.5}^0$
• C. ${47.5}^0$
• D. ${47}^0$

Answer 1

The correct option is B ${37.5}^0$

$\Rightarrow$ Bisecting means dividing into two Equal parts.

$\Rightarrow$ $\angle XYZ={75}^o$ is bisected by an angular bisector $YU$.

$\Rightarrow$ $m\angle UYZ=\frac{m\angle XYZ}{2}=\frac{{75}^o}{2}$

$\therefore$ $m\angle UYZ={37.5}^o$

$\therefore$ Measure of $\angle UYZ={37.5}^o$