Question

The sum of two angles of a triangle is 116 degree and their differences is 24 degree.Find the measure of each angle of the triangle.

Answer 1

let the angles be x and y

x+y = 116
x-y = 24
add them
2x = 140
x = 70
then y = 46

one angle is 70°, the other is 46° leaving 64° for the third angle

Answer 2

Let the angle ne x and y .
If we take x+y=116°....(1)
x-y=24°.....(2)
We know that the sum of an angle of an ∆ is 180°
So, x+y= 116°
x=(180-116)°
X=64°
Now , on adding (1)..(2)
We get, 2x=140
=>140/2
=>70°
Simply sum of am angle of an ∆ is 180°. So, another angle is 46°.

One angle is 70 , another is 46°, and third angle is 65°

Answer 3

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