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vaieri [72.5K]
3 years ago
11

Q1.work out the sum of the interior angles of a pentagon.

Mathematics
1 answer:
creativ13 [48]3 years ago
6 0

Answer:

<u><em>Question 1:</em></u>

<em>The sum of interior angles of a polygon can be found by the following formula:</em>

(n-2) × 180

<em><u>Where n is the no. of sides</u></em>

A pentagon has 5 sides

So,

= (5-2) × 180

= (3) × 180

= 540 degrees

<u><em>Question 2:</em></u>

Since The sum of interior angles of a regular octagon is 1080 and the total interior angle are 8

So, Measure of interior angle = \frac{1080}{8}

Measure of interior angle = 135 degrees

<u><em>Question 3:</em></u>

<em><u>Since, one interior angle in a hexagon measures 120 degrees.</u></em>

So,

<em>The interior angle should be subtracted by 180 to get the exterior angle.</em>

Exterior angle = 180-120

Exterior Angle = 60 degrees

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