Question

sum of two angles of a triangle is 80 and the difference between them is 20 find all the angles of the angle​

Answer 1

Answer:

50 and 30

Step-by-step explanation:

50+30=80

50-30=20

Answer 2

Answer:

80°,20°,100°

Step-by-step explanation:

let the angles be x and y.

According to the problem,

x+y=80°........(i)

x-y=20°........(ii)

Using elimination method of solving simultaneous equations.

So,

On adding (i) & (ii)

x+y=80°

+x-y=20° (+y and -y gets cancelled out on addition)

=>2x=100°

=>x=100/2=50°

therefore x=50°

Putting the value of x in (i) and solving,

50°+y=80°

=>y=80°-50°

=>y=30°

therefore y=30°

let the 3rd angle be a

so, by angle sum property: Sum of all the angles in a triangle is 180°

therefore,

x+y+a=180°

=>50°+20°+a=180°

=>80°+a=180°

=>a=180°-80°

=>a=100°

therefore a=100°

So, the angles of the triangle are: 80°,20°,100° (Ans).