Lines and are parallel

MATHEMATICS · Subjective · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

Lines

l

and

m

are parallel. They are cut by transversals

p

and

q

which meet

l

A, B

and

m

C, D

respectively, forming quadrilateral

ABCD

. (i) Prove that

\angle A + \angle C = 180^{\circ}

. (ii) If

\angle A = (6x - 30)^{\circ}

and

\angle C = (2x + 10)^{\circ}

, determine the value of

x

. (iii) Using the value of

x

, calculate

\angle B

and

\angle D

. (iv) State, with reason, the special name that best describes quadrilateral

ABCD