Mathematics

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