Calculate the sum of angle of a polygon with $: 25$ sides
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Understanding Shapes question types
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Sample Questions
Understanding Shapes questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Calculate the sum of angle of a polygon with: $ 20$ sides
View full solution →Calculate the sum of angle of a polygon with: $12$ sides
View full solution →Calculate the sum of angle of a polygon with $: 10$ sides
View full solution →State which of the following are polygons :
$(i)$
$(ii)$ $(iii)$ 
$(iv)$ 
$(v)$ 
$(vi)$
If the given figure is a polygon, name it as convex or concave.
View full solution →$(i)$
$(ii)$ $(iii)$ $(iv)$ $(v)$ $(vi)$If the given figure is a polygon, name it as convex or concave.
Two angles of a quadrilateral are $89^\circ$and $113^\circ$ . If the other two angles are equal; find the equal angles.
View full solution →Use the information given in the following figure to find the value of $x$.
View full solution →Is it possible to have a regular polygon whose each exterior angle is: $ 40^\circ$ of a right angle.
View full solution →Is it possible to have a regular polygon whose each exterior angle is: $80^\circ$
View full solution →Find the number of sides in a regular polygon, if its exterior angle is: two$-$fifth of right angle
View full solution →Three angles of a quadrilateral are equal. If the fourth angle is $69^\circ $; find the measure of equal angles.
View full solution →In the given figure : $\angle b = 2a + 15$ and $\angle c = 3a + 5;$ find the values of $b$ and $c$.
View full solution →Given : In quadrilateral $ABCD ;\angle C = 64^\circ , \angle D = \angle C – 8^\circ ; \angle A = 5(a+2)^\circ$ and $\angle B=2(2a+7)^\circ $.Calculate $\angle A.$
View full solution →From the following figure find ;$(i)\ x\ (ii) \ \angle ABC\ (iii)\ \angle \ ACD$
View full solution →Two angles of a quadrilateral are $68^\circ$ and $76^\circ$ . If the other two angles are in the ratio $5 : 7$; find the measure of each of them.
View full solution →In quadrilateral $ABCD$, side $AB$ is parallel to side $DC$. If $\angle A : \angle D = 1 : 2$ and $\angle C : \angle B = 4 : 5\ (i)$ Calculate each angle of the quadrilateral. $(ii)$ Assign a special name to quadrilateral $ABCD$
View full solution →Use the information given in the following figure to find : $(i)\ x\ (ii)\ \angle B$ and $\angle C$
View full solution →Angles of a quadrilateral are $(4x)^\circ , 5(x+2)^\circ , (7x – 20)^\circ$ and $6(x+3)^\circ$ . Find : $ (i)$ the value of $x. (ii)$ each angle of the quadrilateral.
View full solution →In a quadrilateral $ABCD, AO$ and $BO$ are bisectors of angle $A$ and angle $B$ respectively. Show that : $\angle AOB = `1/2` (\angle C + \angle D)$
View full solution →$ABCDE$ is a regular pentagon. The bisector of angle $A$ of the pentagon meets the side $CD$ in point $M$. Show that $\angle AMC = 90^\circ .$
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