Question

In the given figure, the straight line AB and CD are parallel to each other. If angle $p={55}^o$, and, $q={43}^o$ then answer the given questions. Find the value x.

• A. ${55}^o$
• B. ${82}^o$
• C. ${98}^o$
• D. ${108}^o$

Answer 1

Answer: (C)

${98}^o$

$\angle r={180}^{\circ }-(\angle p+\angle q)$

$\angle r={82}^{\circ }$

Now, $\angle r=\angle t$ (alternate angles)

Then,$\angle x={180}^{\circ }-\angle t$ (angles in linear pair)

$\angle x={98}^{\circ }$