CBSE Class 8 Mathematics (Demo)

Angle of a cyclic quadrilateral is equal to its interior opposite angle. Arrange them in a sequential order.

(A) $$\angle \mathrm{BAD}+\angle \mathrm{BCD}=\angle \mathrm{BCD}+\angle \mathrm{DCX}$$

(B) $$\angle \mathrm{BAD}+\angle \mathrm{BCD}=180^{\circ}(\quad$$ the opposite angles of a cyclic quadrilateral are supplementary)

(C) $$\angle \mathrm{BAD}=\angle \mathrm{DCX}$$

(D) $$\angle \mathrm{BCD}+\angle \mathrm{DCX}=180^{\circ}$$ (linear pair)

In the given figure $$A B$$ and $$C D$$ are parallel to each other and $$M N$$ is the transversal. If $$\angle \mathrm{MEA}=(4 x-60)^{\circ}$$ and $$\angle \mathrm{DFN}=(2 x+20)^{\circ}$$, then what is the value of $$x$$ ?

In the given figure, $$\overline{\mathrm{AB}} \| \overline{\mathrm{EF}}$$. Find the value of $$y$$.

If the sum of the interior angles of an $$n$$-sided polygon is $$362,340^{\circ}$$, then _______________.

A parallelogram has _________ line(s) of symmetry.

Which of the following is/are not line symmetric?

PQ and RS are two equal chords of a circle drawn on either side of the center ‘ O ‘ of the circle. Both the chords are produced to meet at a point K. Find the radius of the circle, if $$\mathrm{RS}=48 \mathrm{~cm}, 2 \mathrm{QK}=\mathrm{PQ}$$, and $$\mathrm{OK}=50 \mathrm{~cm}$$.

In the given figure, X and Y are the centres of two intersecting circles and LM is their common chord. The measures of $$\angle \mathrm{XLM}=30^{\circ}$$ and $$\angle \mathrm{YLM}=5^{\circ}$$. Find the measure of $$\angle \mathrm{XMY}$$.

$$\angle \mathrm{LPN}=150^{\circ}$$, then find the measure of $$\angle \mathrm{LMN}$$.

In the given figure, ‘ $$\mathrm{O}^{\prime}$$ ‘ is the centre of the circle, $$\angle \mathrm{OPQ}=30^{\circ}$$ and $$\angle \mathrm{ORQ}=0^{\circ}$$. What is the measure of reflex $$\angle \mathrm{POR}$$ ?

In the given figure, $$P Q R S$$ is a trapezium. $$P Q \| R S$$ and $$P S=Q R$$. What are the values of $$x^{\circ}$$ and $$y^{\circ}$$ ?

An equilateral triangle $$A B E$$ is constructed on a side of a square $$A B C D$$. What is the measure of $$\angle \mathrm{AED}$$ ?

Which of the following is an exterior angle of a regular polygon?

Match the values of Column A with those of Column B.

The sum of the interior angles of a regular polygon is $$3060^{o}$$. Find the number of sides in the polygon.

If $$A: B=B: C=4: 5$$, then find the ratio of $$A: B: C$$.

The ratio of incomes of A and B is $$\frac{1}{3}: \frac{1}{2}$$. By what percentage A’s income less than that of B?

The compounded ratio of $$(x+5): 25$$ and $$9: x$$ is $$12: 25$$. Find the value of $$x$$.

Two successive discounts of $$25 \%$$ and $$28 \%$$ are equal to a single discount of ____________.

A certain sum amounts to $$₹ 4300$$ in 3 years and to $$₹ 5100$$ in 4 years at simple interest. Find the initial sum.

What will be the value of $$x$$, if $$\frac{\sqrt{9+8 x}+\sqrt{9-8 x}}{\sqrt{9+8 x}-\sqrt{9-8 x}}=\frac{3}{2}$$ ?

What is the least number that should be subtracted from each of the numbers $$14,11,17$$ and 13 so that the resulting numbers are in proportion?

250 men consume 2250 kg of rice in 60 days. In how many days will 150 men consume 720 kg of rice?

If $$y$$ is mean proportion of $$x$$ and $$z$$, then $$(x-y)^{4}:(y-z)^{4}=$$ ___________.

If the sum of the interior angles of an $$n$$-sided polygon is $$300,240^{\circ}$$, then _______________.