Question

If the angles of triangles are (3x-5), (2x+15) and (5x-50),then the value of the greatest and least angles are

Answer 1

Answer:-
the biggest angle is 61° and the smallest is 59°


Step by step explanation:-
Sum of all the angles of a triangle= 180°
So, (2x+15) + (5x-50) + (3x-5) = 180°

2x+15+ 5x-50+ 3x-5= 180°
10x-40 = 180°
10x = 180+40
x= 220/10 = 22

So we got x as 22
Now lets find the angles:-

(3x-5) = 3 * 22 - 5
That is 66-5 = 61°

(2x+15) = 2 * 22 + 15
That is 44 + 15 = 59°

(5x-50) = 5*22 - 50
That is 110-50= 60°

So the biggest angle is 61° and the smallest is 59°


Thank you ☺️
Hope it helps..