Chapter 10.7, Problem 5PSA

To determine

To Verify : $\text{Can a parallelogram with a 100 degree angle on inscribed in a circle ?}$

Answer to Problem 5PSA

No

Explanation of Solution

Given Information :$\text{Angle of parallelogram = 100 degree}\text{.}$

Formula Used :$\text{Sum of opposite angles of cyclic quadrilateral is 180 degree}\text{.}$

Calculation:$\begin{array}{l}\text{Opposite angles of a parallelogram are equal also Sum of opposite}\\ \text{angles of cyclic parallelogram is 180 degree}\text{.}\\ \text{Therefore, 100 + 100 = 200 which is greater then 180 degree}\\ \text{Hence, it is not possible}\text{.}\end{array}$