Embibe Experts Solutions for Exercise 1: ICSE-2018

In the given figure, $ABCDE$ is a pentagon inscribed in a circle such that $AC$ is a diameter and side $BC\parallel AE$. If $\angle BAC=50°$, find giving reason $\angle EDC$.

In the given figure, $ABCDE$ is a pentagon inscribed in a circle such that $AC$ is a diameter and side $BC\parallel AE$. If $\angle BAC=50°$, find giving reason $\angle ACB$.

In the given figure, $ABCDE$ is a pentagon inscribed in a circle such that $AC$ is a diameter and side $BC\parallel AE$. If $\angle BAC=50°$, find giving reason

$\angle BEC$

In the figure given below, $O$ is the centre of the circle and $AB$ is a diameter. If $AC=BD$ and $\angle AOC=72°$. Find $\angle ABC$.

In the figure given below, $O$ is the centre of the circle and $AB$ is a diameter. If $AC=BD$ and $\angle AOC=72°$. Find $\angle BAD$.

In the figure given below, $O$ is the centre of the circle and $AB$ is a diameter. If $AC=BD$ and $\angle AOC=72°$. Find $\angle ABD$ in degrees.

In the given figure $TP$ and $TQ$ are two tangents to the circle with centre $O$, touching at $A$ and $C$ respectively. If $\angle BCQ=55°$ and $\angle BAP=60°$, find $\angle OBA$ and $\angle OBC$

In the given figure $TP \& TQ$ are two tangents to the circle with centre $O$, touching at $A \& C$ respectively. If $\angle BCQ=55° \& \angle BAP=60°$, find $\angle ATC$ in degrees.