Question

The measure of three angles of a quadrilateral is 30˚, 70˚ and 100˚. Find out

the measurement of fourth an​

Answer 1

Answer:

sum of angles of a parallelogram is 360

let the angle be x

x+30+70+100=360

200+x=360

x=360-200

x=160

Answer 2

Given :-

Measure of first angle = 30˚

Measure of second angle = 70˚

Measure of third angle = 100°

To Find :-

The fourth angle of the quadrilateral.

Analysis :-

Firstly, add up all the three angles given in the question.

Then subtract the sum we got from the total degree of a quadrilateral.

Finally, the number we get by subtracting is our fourth angle.

Solution :-

We know that,

Sum of a quadrilateral = 360°

Making an equation,

360 - (30 + 70 + 100)

360 - 200

= 160°

Therefore, the fourth angle is 160°.