Question

three angles of a quadrilateral are 75,90,75 .find the fourth angle

Answer 1

Given, '
three angles of a quadrilateral are 75 ,90 and 75
We know that sum of all the angles of a quadrilateral is = 360 so
4th angle = 360  - (sum of three angle)
=360- ( 75+90+75)
= 360- 240
=120 degree

Answer 2

The fourth angle = 120°

Given :

Three angles of a quadrilateral are 75° , 90° , 75°

To find :

The fourth angle

Solution :

Step 1 of 2 :

Find sum of three angles

Here it is given that three angles of the quadrilateral are 75° , 90° , 75°

The sum of three angles of the quadrilateral

= 75° + 90° + 75°

= 240°

Step 2 of 2 :

Find fourth angle

We know that sum of four angles of a quadrilateral is 360°

Hence the required fourth angle

= 360° - 240°

= 120°

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