Question

Question 27
In the trapezium ABCD, the measure of $\angle D$ is
a) ${55}^{\circ }$
b) ${115}^{\circ }$
c) ${135}^{\circ }$
d) ${125}^{\circ }$

Answer 1

We know that, in a trapezium, the angles on either side of the base are supplementary.
In trapezium ABCD,
$\therefore \angle A+\angle D={180}^{\circ }\Rightarrow {55}^{\circ }+\angle D={180}^{\circ }\Rightarrow \angle D={180}^{\circ }-{55}^{\circ }\Rightarrow \angle D={125}^{\circ }$