CBSE Class 10-Mathematics: Chapter –3 Pair of Linear Equation in Two Variables Part 17
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Question 9:
ABCD is a cyclic quadrilateral (see figure). Find the angles of the cyclic quadrilateral.

Find the Angles of the Cyclic Quadrilateral
Answer:
We know that the sum of the measures of opposite angles in a cyclic quadrilateral is .
Also
Multiplying equation (1) by 3, we obtain:
Adding equations (2) and (3), we obtain:
Substituting the value of in equation (1), we obtain:
Question 10:
Draw graphs of the equations on the same graph paper . Find the area and co-ordinate of the vertices of the triangle formed by the two straight lines and the y-axis.
Answer:
When

Draw Graphs of the Equations on the Same Graph Paper
Question 11:
Solve:
Answer:
Let
And
And
On solving, we get
And
On solving, we get