Lines and are parallel and are cut by a transversal

MATHEMATICS · Multi-part · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

Lines

p

and

q

are parallel and are cut by a transversal

t

. The angle formed on line

p

to the right of the transversal and above the line measures

(4x + 20)^{\circ}

. The corresponding angle on line

q

in the same relative position measures

(7x - 55)^{\circ}

. (i) Find the value of

x

. (ii) Determine the measure of each of the two corresponding angles. (iii) State whether each of these angles is acute, right, or obtuse.