Two distinct straight lines and are intersected by a transversal

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

Problem

Two distinct straight lines

p

and

q

are intersected by a transversal

s

. One of the interior angles on one side of

s

(3x + 15)^\circ

while the angle lying in the alternate interior position on the other side of

s

(5x - 25)^\circ

. (i) Form an equation in

x

using the information given above and solve it. (ii) Using your result from part (i), determine whether lines

p

and

q

are parallel. State the reason for your conclusion. (iii) Find the value of each of the two interior angles mentioned above.