Embibe Experts Solutions for Exercise 1: West Bengal Board-2018

The angle in the segment of a circle which is less than a semicircle is an obtuse angle.

$O$ is the centre of a circle and $AB$ a diameter. $ABCD$ is a cyclic quadrilateral. $\angle ABC=65°$,  $\angle DAC=40°$ then the measure of $\angle BCD$ is 

Prove that the semicircular angle is a right angle.

Prove that angles in the same segment of a circle are equal.

Two circles intersect each other at the points $P$ and $Q$. If the diameters of the two circles are $PA$ and $PB$ respectively, then prove that $A, Q, B$ are collinear.

$AB$ is a diameter of a circle and $P$ is any point on the circle if $\angle PAB=30°$, find the value of the $\angle PBA$ in degrees.