Question

How to do this question plz answer me step by step plzz ​

Answer 1

The four angles are;

30 degrees, 85 degrees, 95 degrees , and 150 degrees

Explanation:

Call the four angles of this quadrilateral A, B, C, and X (being X the smallest angle)

Then angle A is 55 degrees larger than X , therefore we can write it as X+55

Angle B is 65 degrees larger than X , therefore we can write it as X+65

Angle C is 120 degrees larger than X , therefore we can write it as X+120

Then we know that the addition of all four angles of a quadrilateral must give 360 degrees , so we have:

X + X + 55 +X + 65 + X + 120 = 360

that is:

4 X + 240 = 360

4 X = 360 -240

4 X = 120

X = 120/4

X = 30 degrees

and the other angles are:

30 + 55 = 85 degrees

30 + 65 = 95 degrees

30 + 120 = 150 degrees