Question

pls answer it fast pls​

Answer 1

Answer:

We know that total angle of a pentagon is 540°

ATQ,

a+2a+3a+4a+5a = 540°

5a+5a+5a = 540°

5(a+a+a) = 540°

5×3a = 540°

15a = 540°

a = 540°/15

a = 36

Therefore, a = 36°

b = 72°

c = 108°

d = 144°

e = 180°

Please mark me as brainliest and hope it helps

Answer 2

Answer:

36°

Step-by-step explanation:

Given :-

A = a, B = 2a, C = 3a, D = 4a ,E = 5a

To Find:-

Value of 'a'

Solution:-

As we know, sum of all the interior angles of a pentagon is 540°.

$\implies$ A+B+C+D+E=540°

$\implies$ a + 2a + 3a + 4a + 5a = 540°

$\implies$ 15a = 540°

$\implies$ a = $\dfrac{540}{15}$

$\implies$ a = 36°

Therefore,

A = a = 36°

B = 2a = 72°

C = 3a = 108°

D = 4a = 144°

E = 5a = 180°

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Know More:-

• Pentagon is a five-sided polygon.

• A regular, self intersecting pentagon is called as a Pentagram.

• All the interior angles of a pentagon adds upto 540°.