Question

The sum of two angles of a triangles is 80 and this difference is 20. Find all the angles

Answer 1

Step-by-step explanation:

let First angel is x

so, second is x+20

x+x+20=80

2x+20=80

2x=80+20

2x=100

x=100/2

x=50

x+20

50+20

70

Answer 2

Let the two angles be x and y

ATQ, x+y=80 ..........1

Also, x-y = 20.......... 2

Adding equation 1 and 2, we get

x=50

Putting x in equation 1,we get

y=30

Using angle sum property of triangle,

Sum of all angles of a triangle= 180

so the third angle is 180-(50+30)= 100

So all the angles are 50, 30and 100