Question

6. If the angles of a triangle are in the ratio 3:4:5. what is the difference between the largest and the smallest angle​

Answer 1

Answer:

Angles are in the ratio of 3:4:5

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

∴3x+4x+5x=180...........Sum of the angles of triangle are 180 °

∴12x=180

∴x=15

Hence, the angles are: 45°, 60° and 75°

Difference b/w largest and smallest angle=75-45=30°.

Answer 2

Answer:

30

Step-by-step explanation:

Let the angles be x

i.e 3x, 4x, 5x

3x+4x+5x= 180 ( angel sum property )

12x= 180

x= 180\12

x= 15

3x= 3x15= 45

4x= 4x15= 60

5x= 5x15= 75

difference btw largest angle and smallest angle=

75- 45= 30

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