Question

If three angles of a quadrilateral are 100°,75°and 105º ,then the measure of the fourth angle​

Answer 1

Answer:

Let the 4th angle be x.

Therefore,

=> 100° + 75° + 105° + X = 360°

=> x = 360° - 280°

=> x = 80°.

Answer 2

Given - Angles of quadrilateral

Find - Measure of the fourth angle

Solution - The measure of the fourth angle of the quadrilateral is 80°.

The Sum of all the interior angles of a quadrilateral is 360°. Let the fourth angle of the quadrilateral be x.

100 + 75 + 105 + x = 360

Performing addition to find the value of x.

280 + x = 360

Performing subtraction to find the value of x.

x = 360 - 280

x = 80°

Therefore, the measure of the fourth angle of the quadrilateral is 80°.