Alka Tuli and Rajesh Hassija Solutions for Chapter: Lines and Angles, Exercise 6: HOTS

$ABC$ is a triangle with base $BC$ and $\angle ABC=60.$ Through $A$, a straight line $PQ$ is drawn parallel to $BC$. If $\angle QAC=55$, find the measure of $\angle BAC$ and $\angle ACB$.

In figure, $l, m$ and $n$ are parallel lines, and the lines $p$ and $q$ are also parallel. Find the values of $x, y$ and $z$.

An isosceles right angled triangle $ABC$ is drawn with base $BC$. Through $A$, a straight line $PQ$ is drawn parallel to $BC$. Find the measure of all the angles at $A$.