Question

Four angles of a Pentagon are 100 degrees, 175 degrees, 85 degrees and 75 degrees. Find the fifth angle.​

Answer 1

let the fifth angle be x

we know that,

the sum of all interior angles of a pentagon=540 degrees

therefore,

x=540-(100+175+85+75)

x=540-435

x=105 degrees

hope my answer helps you!

Answer 2

Step-by-step explanation:

According to the angle sum property of the pentagon,

$(2n - 4){90}^{o} \\ = {540}^{o}$

Let the fifth angle be x°

According to the question,

$(100 + 175 + 85 + 75 + x) degrees = 540 \: degrees \\ = > (435 + x) \: degrees = 540 \: degrees \\ = > x = (540 - 435) \: degrees \\ = > x = 105 \: degrees$

Thus the fifth angle is 105°

Om Namah Shivaya

Debasish Biswal