Question

In the trapezium, the measure of $ \angle D$ is

• A. $55°$
• B. $115°$
• C. $135°$
• D. $125°$

Answer 1

The correct option is D

$125°$

Explanation of the correct option.

Compute the required value:

From the figure $\angle \mathrm{D}$ and $\angle \mathrm{A}$ are supplementary. [Property of trapezium]

We know that sum of the supplementary angle is equal to $180°$.

$\begin{array}{rcl}\angle \mathrm{D}+\angle \mathrm{A}& =& 180°\\ & \Rightarrow & \angle \mathrm{D}+55°=180°\\ & \Rightarrow & \angle \mathrm{D}=180°-55°\\ & \Rightarrow & \angle \mathrm{D}=125°\end{array}$

Hence, option $\mathrm{D}$ is the correct answer.