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2 years ago

Shown is a pentagon, with the size of each angle shown. Work out the largest angle.

Mathematics

2 answers:

algol132 years ago

8 0

Answer:

I think it would be the bottom left angle, x + 20 = 20x.

Why the others are smaller:

10x (x + 10)

12x (2x + 10)

10x (x + 10)

Step-by-step explanation:

VARVARA [1.3K]2 years ago

8 0

Answer:

160°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540

x + 10 + 2x + 10 + x + 10 + 2x+ x + 20 = 540 , that is

7x + 50 = 540 ( subtract 50 from both sides )

7x = 490 ( divide both sides by 7 )

x = 70

Then

largest angle = 2x + 20 = 2(70) + 20 = 140 + 20 = 160°

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