Question

What is the measure of the exterior angle ‘x’ in the Pentagon.  67°,45°, 98°, x°,80°.​

Answer 1

Answer

• The exterior angle of the pentagon = 70°.

Given

• The exterior angles of a pentagon are 67°, 45°, 98°, 80° and x.

To Do

• To find the value of x.

Step By Step Explanation

We know that the sum of all the exterior angles of a closed figure = 360°.

So equation will be ⤵

$\red\dag\underline{\boxed{ \tt{67 + 45 + 98 + 80 + x= 360}}}$

Solution of Equation :

Let's solve the above equation to find the value of x. So let's do it !!

$\longmapsto \tt67 + 45 + 98+ 80 + x = 360 \\ \\\longmapsto \tt 290 + x = 360 \\ \\\longmapsto \tt x = 360 - 290 \\ \\ \green{\longmapsto \bf x = 70}$

Therefore, the exterior angle of the pentagon = 70°.

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More to Know

• Regular polygon - A polygon in which all the sides and angles are equal is known as regular polygon.

• Polygon according to their number of sides -

1. Polygon with 3 sides is known as triangle.
2. Polygon with 4 sides is known as quadrilateral.
3. Polygon with 5 sides is known as pentagon.
4. Polygon with 6 sides is known as hexagon.
5. Polygon with 7 sides is known as heptagon.
6. Polygon with 8 sides is known as octagon.
7. Polygon with 9 sides is known as nonagon.
8. Polygon with 10 sides is known as decagon.

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Answer 2

Answer:

70° is the correct answer.