Question

Four angles of a pentagon are 120°each. Find the fifth angle.

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Answer 1

Answer:

80°

Step-by-step explanation:

Sun of 4 angles of a pentagon= 120° × 4 = 480°

Sum of angles of a pentagon= 560°

The 5th angle= 560° - 480° = 80°

Answer 2

Answer:

Fifth angle is equal to 60° .

Step-by-step explanation:

Let the angles be A, B, C, D and E.

Let fifth angle E = x

Angle A, B, C and D measure 120°.

A+B+C+D + x = 540° ( A. S. P. of Pentagon )

120°+120°+120°+120°+x = 540°

480°+ x = 540°

x = 540° - 480°

x = 60°

Hence the fifth angle E or x = 60°.

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