Question

The four angles of pentagon are equal and the fifth angle measure 140° find the measure of four equal angles​

Answer 1

Answer:

Step-by-step explanation:

Number of sides in a hexagon=n=6

Sum of interior angles=(n−2)180

∘

=(6−2)180

∘

=720

∘

Let the remaining angle be x

⇒x+100

∘

+120

∘

+130

∘

+140

∘

=720

∘

⇒x+600

∘

=720

∘

⇒x=720

∘

−600

∘

=120

∘

∴ Measure of sixth angle is 120

Answer 2

Answer:

100°

Step-by-step explanation:

let the angles be x

so, x+x+x+x+140 = 540°. ( sum of interior angles of pentagon is 540)

4x+140 = 540

4x = 540-140

4x = 400

x = 400/4

x = 100

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