Manipur Board Solutions for Chapter: Lines and Angles, Exercise 1: EXERCISE 6.1

In the adjoining figure, $AB$ and $AC$ are opposite rays. If $a-3b=20°$, find $a$ and $b$.

In the adjoining figure, $BAC$ is a line and $x:y:z=5:6:7$. Find $x, y$ and $z$.

Two angles of a linear pair are in the ratio $6:3$. Find the measure of each of these angles.

Prove that the bisectors of two adjacent supplementary angles include a right angle.

In the $△ABC, \angle ABC=\angle ACB$. If the side $BC$ is produced both ways, prove that the exterior angles are equal.

$\angle AOB$ is bisected by the ray $OC$ and ray $OD$ is opposite to the ray $OC$. Prove that $\angle AOD$ and $\angle BOD$ are equal.