Question

9) Four angles of a pentagon are 110, 90, 125 and 140 degree. Find the size of the fifth angle.
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Answer 1

Answer:

it's fifth angle is 80 degree

Answer 2

Answer :

• The size of fifth angle is 75⁰

Given :

• Four angles of a pentagon are 110⁰,90⁰,125⁰and 140⁰

To find :

• The size of the fifth angle

Solution :

As we know that,

• Sum of angles in pentagon = 540⁰

• Let the fifth angle be x

According To Question,

》x + 110⁰ + 90⁰ + 125⁰ + 140⁰ = 540⁰

》x + 465 = 540

》x = 540 - 465

》x = 75⁰

Hence , The size of fifth angle is 75⁰

More Explanation :

• Pentagon has five vertices
• Pentagon has 5 edges
• Pentagon is a polygon with five sides and angles
• The sum of interior angles of a rectangular pentagon is 540⁰
• In regular pentagon, interior angles is 108⁰ and exterior angles is 72⁰
• Pentagon is a flat and 2D shape