Question

That polygon is the question
Find m

Please answer it fast please please explain with steps I want steps

Answer:- 60 degrees

Answer 1

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∠m = 60°

Step-by-step explanation:

From the figure the polygon is Pentagon [ 5 sided polygon ]

We also know that, to find the sum of all sides of the polygon we can use the Formula

• (n - 2) × 180 [where n is the number of sides of the polygon]

Here, the figure is Pentagon [ 5 sided polygon]

So,

• (n- 2) × 180

• (5 - 2) × 180

• 3 × 180

• 540°

So, The sum of all angles of a Pentagon = 540°

Here in the Question

The angles of the pentagon is m,m,2m,3m,2m

We know that m + m + 2m + 3m + 2m = 540°

9m = 540°[ ASP of Pentagon]

m= 540/9

∠m = 60°

So, The other angles are

∠m = 60°

∠m = 60°

∠2m = 2 × 60 = 120°

∠3m = 3 × 60 = 180°

∠2m = 2 × 60 = 120°