Angles and depend on an integer

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

Problem

Angles

\alpha=(2x+5)^\circ

and

\beta=(3x-15)^\circ

depend on an integer

x

. Which one of the following statements is true? (a) The angles are complementary when

x=38

. (b) No integer value of

x

makes the angles complementary, but

x=38

makes them supplementary. (c) The angles are complementary when

x=20

. (d) The angles are supplementary when

x=34