M L Aggarwal Solutions for Chapter: Lines and Angles, Exercise 1: Exercise 6.1

In the adjoining figure, for what value of $x+y$ will $ABC$ a straight line. Justify your answer. 

In the adjoining figure, $\angle AOC$ and $\angle BOC$ form a line $AB$. If $a-b=80°$, find the values of $a$ and $b$.

In the adjoining figure, if $x+y=z+w$, then prove that $AOB$ is a straight line.

Find the values of $x, y$ and $z$ in the following figure:

Find the values of $x, y$ and $z$ in the following figure:

In the following figure, lines $AB$ and $CD$ intersect each other at $O$. Find the values of $x, y$ and $z$.

In the following figure, $AB$ and $CD$  are two straight lines which intersect each other at the point $O$. Find the values of $x, y$ and $z$.

In the adjoining figure, $OD$ is the bisector of $\angle AOC$, $OE$ is the bisector of $\angle BOC$ and $OD\perp OE$. Show that the points $A, O$ and $B$ are collinear.