# CBSE Class 10-Mathematics: Chapter – 3 Pair of Linear Equation in Two Variables Part 17 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 9**:

ABCD is a cyclic quadrilateral (see figure) . 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

**Question 11**:

Solve:

**Answer**:

Let

And

And

On solving, we get

And

On solving, we get