# Sum of Measures of Exterior Angles of a Polygon

## Trending Questions

**Q.**What is the measure of each interior angle of a regular hexagon? How many equilateral triangles can be divided in a regular hexagon?

**Q.**Question 4

How many sides does a regular polygon have if each of its interior angles is 165∘?

**Q.**

The ration of exterior angle to interior angle of a regular polygon is 1:4. Find the numbers of sides of the polygon.

**Q.**

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

**Q.**

Find the measure of each exterior angle of a regular (i) pentagon (ii) hexagon (iii) heptagon (iv) decagon (v) polygon of 15 sides.

**Q.**

The measure of each interior angle of a regular polygon is five times the measure of its exterior angle. Find :

(i) measure of each interior angle :

(ii) measure of each exterior angle and

(iii) number of sides in the polygon.

**Q.**The sides of a quadrilateral are produced in order. What is the sum of the four exterior angles?

**Q.**

In a polygon, each interior angle is thrice the exterior angle. Find the number of sides of the polygon.

**Q.**

AB, BC and CD are three consecutive sides of a regular polygon. If angle BAC = 20o ; find :

(i) its each interior angle,

(ii) its each exterior angle

(iii) the number of sides in the polygon.

**Q.**

The number of sides of a regular polygon whose each interior angle is 135∘

**Q.**

Find the number of sides in a regular polygon, if its interior angle is equal to its exterior angle.

**Q.**Find the number of degrees in each exterior angle of a regular pentagon.

**Q.**

Find the sum of exterior angles obtained on producing, in order, the sides of a polygon with :

(i) 7 sides (ii) 10 sides (iii) 250 sides

**Q.**

Proove that interior angle of a regular Pentagon is 3 times the exterior angle of decagon.

**Q.**

In a regular pentagon ABCDE, draw a diagonal BE and then find the measure of :

(i) ∠BAE

(ii) ∠ABE

(iii) ∠BED

**Q.**

What is the measure of any exterior angle of a regular nonagon?

**Q.**

Is it possible to have a regular polygon whose each exterior angle is :

(i) 80o

(ii) 40% of a right angle.

**Q.**

Use the following figure to find the value of x.

**Q.**The interior angle of a polygon is 6 times it's exterior angle. Find the number of sides and the sum of all the interior angle. What is the name of the polygon

**Q.**

Is it possible to have a regular polygon each of whose exterior angle is 50∘?

**Q.**

The angles of a quadrilateral are in the ratio 2:3:4:1.find the measure of each angle of quadrilateral.

**Q.**

Two angles of a quadrilateral are 72° and 56° respectively and the remaining two angles are in the ratio 3:5 . Find the measure of each angle of the quadrilateral.

**Q.**

Find the maximum possible exterior angle for a regular polygon

**Q.**

The exterior angle of a polygon is one-sixth of it's interior angle. What are the angles?

**Q.**

Three angles of a quadrilateral are in the ratio 2:5:6. If the fourth angle measures 100° , find the other three angles of the quadrilateral.

**Q.**

If$ a + 10^{o}, 3a + 10^{o}, 5a - 10^{o} and 3a - 10^{o} are the angles of a quadrilateral, then what is the value of a?

50

^{o}40

^{o}30

^{o}20

^{o}

**Q.**Question 168

Find the measure of an exterior angle of a regular pentagon and an exterior angle of a regular decagon. What is the ratio between these two angles?

**Q.**

Find the number of sides in a regular polygon, if its each exterior angle is :

(i) 13 of a right angle

(ii) two - fifth of a right - angle.

**Q.**

The rario between the interior angle and the exterior angle of a regular polygon is 2 : 1. Find :

(i) each exterior angle of the polygon ;

(ii) number of sides in the polygon.

**Q.**

The sides of a hexagon are produced in order. If the measures of exterior angles so obtained are (6x−1)o, (10x+2)o, (8x+2)o (9x−3)o, (5x+4)o and (12x+6)o; find each exterior angle.