Question

the angle of a triangle are arranged in ascending order of magnitude.if the difference between two consecutive angles is 30 find the three angles

Answer 1

Sum of angles in a triangle = 180
difference between two consecutive angles is 30, So
x +( x + 30) + ( x + 60) = 180
3x + 90 = 180
3x = 180 - 90
3x = 90
x = 90/3
x = 30, x+30 = 60, x+60 = 90

Answer 2

Answer: 30, 60 & 90

Step-by-step explanation:

Let the angles be x, y, z where x<y<z

y-x=30------(i)

z-y =30-------(ii)

x+y+z=180 (Angle Sum Property)------(iii)

(i)+(ii)⇒z-x=60⇒z=x+60

From (i) we can say that y = x + 30

So Substituting these values in (iii) We get

x + x+ 30 + x + 60 = 180

⇒3x = 90

⇒x = 30

Now y = x+30 ⇒y = 60

Also z = x+ 60 ⇒z = 90

Therefore the angles are 30, 60 and 90