Respuesta :
Sum of 2 angles = 80°
Difference = 20°
If we take away 20° from the sum, both angles are equal
⇒80 - 20 = 60°
Divide by 2 to find the smaller angle:
60 ÷ 2 = 30
Add 20° to find the bigger angle:
20 + 30 = 50°
One of the angle is 30° and the other angle is 50°
Given that the sum of the two angles is 80°
⇒ Third angle = 180 - 80 = 100°
Answer: The 3 angles are 30° , 50° and 100°
The sum of the interior angles in a triangle is 180.
We can find what one of angles are. Since the sum of two angles are 80, that leaves the third angle.
180-80=100
This means one angle equals 100.
We can make an equation to find what the two angles are. Let's have x as the smaller angle.
x+x+20=80; since their difference is 20.
2x+20=80; let's subtact 20.
2x=60; now divide by 2.
x=30
Since the smaller angle of the two is 30, the other is 50.
So, the angles of the triangle are 30°, 50°, and 100°