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strojnjashka [21]
2 years ago
15

Determine the measure of each indicated angle. Show all necessary steps!

Mathematics
1 answer:
Mariana [72]2 years ago
7 0

The measure of the unknown angle are; a) x = 89 degrees, b) p = 92 degrees.

<h3>What is the sum of all the angles of a regular polygon?</h3>

For a regular polygon of any number of sides, the sum of its exterior angle is 360°.

We already know that a 4-sided polygon's angles add up to 360 degrees.

So to find the value of x:

69 + 118 + 84 + x = 360

x = 360 - (69 + 118 + 84)

x = 89 degrees

b)

For a 4-sided polygon, we also know that the outside angles add up to 360 degrees.

So to find the value of p:

100 + 62 + 106 + p = 360

p = 360 - (100 + 62 + 106)

p = 92 degrees

Learn more about interior angles of a regular polygon here:

brainly.com/question/14173422

#SPJ1

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