Question

three angles of a quadrilateral are in the ratio 3:4:5 .the difference of the least and the greatest of these angle is 45 degree find the all the four angles of the quadrilateral​

Answer 1

Answer:the angles are 67.5°, 90°, 112.5°, and 90°

Step-by-step explanation:

Let the three angles be 3x, 4x, 5x

It’s is given that

5x - 3x = 45

=> 2x = 45

=> x = 22.5

Therefore the 3 angles are

3*22.5 = 67.5

4*22.5 = 90

5*22.5 = 112.5

According to Angle Sum Property Of Quadrilaterals,

The sum of the 4 angle of a quadrilateral = 360

Let the 4th angle be y

67.5 + 90 + 112.5 + y = 360

=> y = 360 - 270 = 90

Therefore, the angles are 67.5°, 90°, 112.5°, and 90°

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Answer 2

Answer:

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