if each angle of a triangle is decreased ba 10° the ratio of three resultant angles.will be 6:4:5 find out
Answers
Answer:
6x + 5x + 4x + 30⁰ = 180⁰
Therefore 15x= 150
Which gives x= 10
So the angles are : 70⁰, 50⁰ and 60⁰ respectively
Given : Each angle of a triangle is decreased by 10°
ratio of three resultant angles will be 6:4:5
To Find : The greatest angle of the triangle?
A) 50⁰ B) 60⁰ C) 70⁰ D)80⁰
Solution:
After Decreasing Each angle by 10° the angle are
6x , 4x and 5x
So originally angles in degrees are
6x + 10 , 4x + 10 , 5x + 10
Sum of angles of a triangle is 180°
=> (6x + 10)° + (4x + 10)° + (5x + 10)° = 180°
=> 15x° + 30° = 180°
=> 15x° = 150°
=> x = 10
Largest angle is (6x + 10)° = 6(10°) + 10° = 70°
Correct option is C) 70°
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