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 $r$.

• A. ${55}^o$
• B. ${82}^o$
• C. ${108}^o$
• D. ${43}^o$

Answer 1

The correct option is B ${82}^o$

In the given figure, $AB$ and $CD$ are parallel to each other and $p=55$ and $q=43$

We see that, the angles $p,q,r$ are in straight line $AB$.

Then $\angle p+\angle q+\angle r={180}^o$

$\Rightarrow 55+43+\angle r={180}^o$

$\Rightarrow r=180-55-43={82}^0$