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emmasim [6.3K]
2 years ago
5

PLEASE HELP GEOMOTRY"the ratio of the angles of a pentagon is 1:2:2:3:4 find the largest angle"

Mathematics
1 answer:
RideAnS [48]2 years ago
3 0

The largest angle of the pentagon with the given ratio of angles is: 180°.

<h3>What is a Pentagon?</h3>

A pentagon is a 5-sided polygon with 5 interior angles that have a sum of 540 degrees.

If the ratio of the angles are: 1:2:2:3:4, then the largest angle would be calculated as shown below:

4/(1+2+2+3+4) × 540

4/12 × 540 = 180°

The largest angle is: 180°.

Learn more about pentagon on:

brainly.com/question/1419173

#SPJ1

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x = 58°

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According to the diagram, lines HI and JK are parallel to each other.

∠AHI = 60°

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∠JKI and ∠HIA are equal because when two lines are parallel then the corresponding angles are equal.

So,

∠JKI = ∠HIA = 62°

In ΔHIA,

∠AHI + ∠HIA + ∠IAH = 180°

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x = 180° - 122°

x = 58°

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