Question

four angles of a pentagon are 100°,175°,85°and 75° . Find the fifth angle

Answer 1

we know that,
sum of angles of a Pentagon = 540 degrees
therefore, (100 + 175 + 85 + 75 + x) degrees = 540 degrees
here, x is the fifth angle which we have to find
435 + x =540 degree
x = 540 - 435
x = 105 degrees

$fifth \: angle \: is \: 105 \: degrees$

Answer 2

Answer:

105°

Step-by-step explanation:

To answer this question, we need to simply apply unitary method.

As we know, the sum of all angles of a Pentagon is 540°. And we know the values of 4 out of 5 angles to be 100°, 175°, 85° and 75° respectively. So let’s assume that the final angle is x.

Therefore, x + 100 + 175 + 85 + 75 = 540

x = 540 – 435

x = 105°

Hence the final angle is of 105 degrees.