On a construction site

MATHEMATICS · Single correct · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

On a construction site, two floor markings

\ell_1

and

\ell_2

are intended to be parallel. A laser line

t

intersects

\ell_1

at an angle of

(7y + 15)^{\circ}

and intersects

\ell_2

on the same side of

t

at an interior angle of

(3y + 45)^{\circ}

. For safety, the engineer will accept the markings as parallel only if these two interior angles differ from

180^{\circ}

by no more than

2^{\circ}

. Which of the following statements is correct? (a) Reject the markings;

y = 12

. (b) Accept the markings as parallel;

y = 15

. (c) Accept the markings as parallel;

y = 12

. (d) Accept the markings as parallel;

y = 11