Question 11 Mark
If the bisectors of two adjacent angles $A$ and $B$ of a quadrilateral $A B C D$ intersect at a point $O$ such that $\angle C+\angle D=k \angle A O B$, then find the value of $k$.
Answer
View full question & answer→2
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Question 21 Mark
In a quadrilateral $A B C D$, bisectors of angles $A$ and $B$ intersect at $O$ such that $\angle A O B=75^{\circ}$, then write the value of $\angle C+\angle D$.
Answer
View full question & answer→$150^{\circ}$
Question 31 Mark
In Fig., ABCD is a trapezium. Find the values of x and y.
Answer
View full question & answer→$x=50^{\circ}, y=88^{\circ}$
Question 41 Mark
In Fig, PQRS is an isosceles trapezium. Find x and y.
Answer
View full question & answer→$x=36^{\circ}$
Question 51 Mark
In a parallelogram $A B C D$, the bisector of $\angle A$ also bisects $B C$ at $X$. Find $AB : AD$.
Answer
View full question & answer→$1 : 2$
Question 61 Mark
If measures opposite angles of a parallelogram are $(60-x)^{\circ}$ and $(3 x-4)^{\circ}$, then find the measures of angles of the parallelogram.
Answer
View full question & answer→$44^{\circ}, 136^{\circ}, 44^{\circ}, 136^{\circ}$
Question 71 Mark
In a parallelogram $A B C D$, if $\angle A=(3 x-20)^{\circ}, \angle B=(y+15)^{\circ}, \angle C=(x+40)^{\circ}$, then find the values of $x$ and $y$.
Answer
View full question & answer→x = 30, y = 95
Question 81 Mark
The perimeter of a parallelogram is 22 cm . If the longer side measures 6.5 cm , what is the measure of shorter side?
Answer
View full question & answer→4.5 cm
Question 91 Mark
If PQRS is a square, then write the measure of $\angle S R P$.
Answer
View full question & answer→$45^{\circ}$
Question 101 Mark
In a parallelogram ABCD, if $\angle D=115^{\circ}$, then write the measure of $\angle A$.
Answer
View full question & answer→$65^{\circ}$
Question 111 Mark
In a parallelogram ABCD, write the sum of angles A and B.
Answer
View full question & answer→$180^{\circ}$