Adjacent and Opposite Angles of a Quadrilateral

Q.

Two angles of a quadrilateral measure ${85}^{\circ }$ and ${75}^{\circ }$ respectively. The other two angles are equal.

Find the measure of each of these equal angles.

1. ${240}^{\circ }$

2. ${100}^{\circ }$

3. ${135}^{\circ }$

4. ${80}^{\circ }$

Q.

How many pairs of adjacent angles does a quadrilateral have?

1. Four

2. Two

3. Six

4. Three

Q.

In the adjoining figure, ABCD is a quadrilateral. How many pairs of opposite angles are there? Name them.

Q. Bisectors of two adjacent angles A and B of quadrilateral ABCD intersect each other at a point P .Prove that 2angle APB = angle B + angle D

Q. Name the adjacent angles of the given quadrilateral

1. $(\angle D$, $\angle C)$ , $(\angle C$, $\angle B)$, $(\angle B$, $\angle A)$, $(\angle A$, $\angle D)$
2. $(\angle D$, $\angle C)$ , $(\angle A$, $\angle C)$, $(\angle B$, $\angle D)$, $(\angle A$, $\angle D)$
3. $(\angle D$, $\angle A)$ , $(\angle A$, $\angle C)$, $(\angle B$, $\angle A)$, $(\angle D$, $\angle B)$
4. $(\angle D$, $\angle B)$ , $(\angle C$, $\angle A)$, $(\angle B$, $\angle A)$, $(\angle A$, $\angle D)$

Q.

In parallelogram ABCD, which of the two angles are equal?

1. Angles A & B

2. Angles B & C

3. Angles A & C

4. Angles C & D

Q.

For the quadrilateral PQRS, which of the following option is incorrect?

1. ∠S and ∠P are adjacent angles

2. ∠Q and ∠R are adjacent angles.

3. ∠Q and ∠S are adjacent angles.

4. ∠P and ∠Q are adjacent angles

Q.

A quadrilateral has two of its angles as ${30}^{\circ }$ and ${40}^{\circ }$. What type of quadrilateral can it be?

1. Trapezium

2. Square

3. Parallelogram

4. Rectangle