Lines and intersect at point .

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

Problem

Lines

AB

and

CD

intersect at point

O

. (i) Define (a) a linear pair of angles and (b) supplementary angles. (ii) List all the linear pairs formed at the point of intersection

O

of the two lines. (iii) Explain, without performing any numerical calculation, why the sum of the measures of each pair listed in part (ii) is

180^{\circ}

. Your explanation should explicitly refer to the definition stated in part (i).