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CBSE Class 9 Answered

the angles of a triangle are in the ratio of 2 :3:4
question image
Asked by sumitrasangwa041 | 02 Jul, 2022, 02:21: PM
answered-by-expert Expert Answer
Let the common multiple be x.
So, the angles are 2x, 3x and 4x
Since, sum of all interior angles of a triangle is 180o
rightwards double arrow 2 straight x plus 3 straight x plus 4 straight x equals 180 to the power of straight o
rightwards double arrow 9 straight x equals 180 to the power of straight o
rightwards double arrow straight x equals 20 to the power of straight o
rightwards double arrow 2 straight x equals 40 to the power of straight o comma space 3 straight x equals 60 to the power of straight o comma space 4 straight x equals 80 to the power of straight o
Thus comma space the space angles space are space 40 to the power of straight o comma space 60 to the power of straight o space and space 80 to the power of straight o.
Answered by Renu Varma | 04 Jul, 2022, 11:55: AM
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