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Someone, please help! Thank you!

The ratio of measures of angles of a polygon is 3:1:4:1:5:9:2. What is the measure of the largest angle?

User Davorp
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1 Answer

26 votes
26 votes

Answer:

324°

Explanation:

Totak angles in a 7 sided polygon = 900°

Side A = 3

Side B = 1

Side C = 4

Side D = 1

Side E = 5

Side F = 9

Side G = 2

Total = 25

The largest angle has the largest ratio which is side F

Angle in side F = Ratio of side F / total ratio × 900°

= 9/25 × 900°

= 0.36 × 900°

= 324°

The largest angle = 324°

The smallest angles are angles with the lowest ratio which are side B and side D

Angle in side B = Ratio of side F / total ratio × 900°

= 1/25 × 900°

= 0.04 × 900°

= 36°

The smallest angles are angles 36°

User Ninel
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