Two parallel horizontal beams in a warehouse are joined by a diagonal support bar

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

Problem

Two parallel horizontal beams in a warehouse are joined by a diagonal support bar. The diagonal makes an interior angle of

(6x - 8)^\circ

with the upper beam and an interior angle of

(3x + 8)^\circ

with the lower beam on the same side of the diagonal. Find the value of

x

. (a) 22 (b) 20 (c) 24 (d) 18