Frank solutions for Mathematics [English] Class 9 ICSE chapter 18 - Rectilinear Figures [Latest edition]

Find the sum of the interior angles of a polygon of: 7 sides

Find the sum of the interior angles of a polygon of: 12 sides

Find the sum of the interior angles of a polygon of: 9 sides

Find the measure of each interior angle of a regular polygon of: 6 sides

Find the measure of each interior angle of a regular polygon of: 10 sides

Find the measure of each interior angle of a regular polygon of: 15 sides

Find each exterior angle of a regular polygon of: 9 sides

Find each exterior angle of a regular polygon of: 15 sides

Find each exterior angle of a regular polygon of: 18 sides

Find the number of sides in a regular polygon, when each interior angle is: 120°

Find the number of sides in a regular polygon, when each interior angle is: 140°

Find the number of sides in a regular polygon, when each interior angle is: 135°

Find the number of sides in a regular polygon, when each exterior angle is: 20°

Find the number of sides in a regular polygon, when each exterior angle is: 60°

Find the number of sides in a regular polygon, when each exterior angle is: 72°

The angles of a pentagon are 100°, 96°, 74°, 2x° and 3x°. Find the measures of the two angles 2x° and 3x°.

The three angles of a quadrilateral are 71°, 110°, 95°. Find its fourth angle.

Find the angles of a pentagon which are in the ratio 4: 4: 6: 7: 6.

Find the angles of a quadrilateral whose angles are in the ratio 1: 4: 5: 2.

The angles of a pentagon are x°, (x - 10)°, (x + 20)°, (2x - 44)° and (2x - 70)°. Find the angles.

The angles of a hexagon are (2x + 5)°, (3x - 5)°, (x + 40)°, (2x + 20)°, (2x + 25)° and (2x + 35)°. Find the value of x.

One angle of a hexagon is 140° and the remaining angles are in the ratio 4 : 3 : 4 : 5 : 4. Calculate the measures of the smallest and the largest angles.

One angle of a pentagon is 160° and the rest are all equal angles. Find the measure of the equal angles.

Calculate the measure of each angle of a nonagon.

Calculate the measure of each angle of a regular polygon of 20 sides.

Is it possible to have a polygon whose sum of interior angles is 780°?

Is it possible to have a polygon whose sum of interior angles is 7 right angles?

Is it possible to have a polygon whose each interior angle is 124°?

Is it possible to have a polygon whose each interior angle is 105°?

A heptagon has three angles equal to 120°, and the other four angles are equal. Find all the angles.

In a pentagon ABCDE, AB || ED and ∠B = 140°, ∠C = 2x° and ∠D = 3x°. Find ∠C and ∠D

In a polygon, there are 3 right angles and the remaining angles are equal to 165°. Find the number of sides in the polygon.

ABCDE is a pentagon in which AB is parallel to DC and ∠A : ∠E : ∠D = 1 : 2 : 3. Find angle A.

If the difference between an exterior angle of a regular polygon of 'n' sides and an exterior angle of another regular polygon of '(n + 1)' sides is equal to 4°; find the value of 'n'.

The number of sides of two regular polygons are in the ratio 2 : 3 and their interior angles are in the ratio 9 : 10. Find the number of sides of each polygon.

KL, LM and MN are three consecutive sides of a regular polygon. If ∠LKM = 20°, find the interior angle of the polygon and the number of sides of the polygon.

The ratio between the number of sides of two regular polygon is 3 : 4 and the ratio between their interior angles is 2 : 3. Find the number of sides of each polygon.

Find the value of each angle of a heptagon If three of its angles measure 132° each and the remaining four.

Find the value of each angle of an octagon if two of its angles are 148° and 152° and the remaining angles are all equal.

Find the value of each angle of an octagon if four of its angles are equal and the other four are each greater than these by 20°.

The exterior angle of a regular polygon is one-third of its interior angle. Find the number of sides of the polygon.

The number angle of a regular polygon is double the exterior angle. Find the number of sides of the polygon.

The sum of the interior angles of a polygon is 6.5 times the sum of its exterior angles. Find the number of sides of the polygon.

The difference between an exterior angle of (n - 1) sided regular polygon and an exterior angle of (n + 2) sided regular polygon is 6°. Find the value of n.

In a pentagon PQRST, ∠P = 100°, ∠Q = 120° and ∠S = ∠T. The sides PQ and SR, when produced meet at right angle. Find ∠QRS and ∠PTS.

In a hexagon JKLMNO, side JK || ON and ∠K : ∠L : ∠M : ∠N = 6 : 5 : 4 : 3. Find the angle ∠K and ∠M.

In a regular pentagon PQRST, PR = QT intersect at N. Find the angle RQT and QNP.

Each exterior angle of a regular polygon is `(1)/"P" `times of its interior angle. Find the number of sides in the polygon.

Each interior angle of a regular polygon is 162°. Another regular polygon has number of sides double the first polygon. Find each interior angle of the second polygon.