Question

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

Answer 1

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

∘

Answered By=shreyash. ....

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Answer 2

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  

∘