Lines and are intersected by a transversal at points and

MATHEMATICS · Multi-part · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

Lines

a

and

b

are intersected by a transversal at points

P

and

Q

. On one side of the transversal, the interior angle at

P

measures

(3x + 15)^{\circ}

and the interior angle at

Q

measures

(5x - 35)^{\circ}

. (i) Find the value of

x

if the two interior angles are supplementary. (ii) Calculate the measure of each interior angle. (iii) Using your calculation, decide whether lines

a

and

b

are parallel. Give a reason for your answer.