Lines and intersect at

MATHEMATICS · Single correct · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

Lines

p

and

q

intersect at

O

. A third line

r

passes through

O

and is perpendicular to

p

. If the angle between

r

and

q

on one side of

p

32^{\circ}

, what is the measure of the acute angle between

p

and

q

? (a)

32^{\circ}

(b)

58^{\circ}

(c)

68^{\circ}

(d)

148^{\circ}