CBSE Class 8 Answered
Respected sir/ ma'am,
Can you please provide me answer of this question:
Three angles of a quadrilateral are in the ratio 4 : 5 : 6 with the difference of 36° between the largest and the smallest of the given three angles. The fourth angle of the quadrilateral would be
(1) 270° (2) 90°
(3) 108° (4) 72°
Thank you.
Asked by angelina.rozanne | 26 Oct, 2018, 08:52: PM
Expert Answer
Let the fourth angle be y and given angles are 4x, 5x, 6x.
The sum of the angles of the quadrilateral is 360°.
4x + 5x + 6x + y = 360°
15x + y = 360°.......(i)
According to the quetsion,
6x - 4x = 36°
2x = 36°
x = 18°
Put it in (i) we get
15 × 18 + y = 360°
y = 360° - 270° = 90°
Hence, the fourth angle is 90°.
Answered by Sneha shidid | 29 Oct, 2018, 08:56: AM
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