Question

sum of two angles of triangle is 116 and their difference is 24. find the measure of each angle of triangle

Answer 1

X+X+24=116
=> 2X+24=116
=>2X=116-24
=>2X=92
=> X=92/2
=>X= 46
Now,
Two measure are X and X+24
= 46 and 46+24=70

Answer 2

We have,
sum of two angles of triangle = 116°
And their difference is 24° so,
we know sum of the angles of a triangle= 180°

So,
let the other angle be x.
180=x+116
x=180-116
x=64°

Now we know,
One of the angles is 64° and the sum of other two angles is 116° so,
y+z=116 and y-z=24. (angles of the triangle are x, y, z)

y+z-(y-z)=116-24
2y=52
y=26

So we know y=26, x=64 and z,
z=180-(26+64)
z=90

Therefore the three sides are 26°, 90°, and 64°


Hope it helps!
Please mark my answer brainliest!