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Answer:
60 degree .
Step-by-step explanation:
hope it helps you. you can see the image for explanation
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Given:
The angles of the triangle :
(2x+20)°, 3x°, (5x - 40)°
To find:
The angles and the perimeter of the triangle.
Step-by-step explanation:
- As, we know sum of all the angles of a triangle is equals to 180°.
- ∴ We can say (2x+20)° + 3x° + (5x - 40)° = 180°
- (2x + 20 + 3x + 5x - 40)° = 180°
- ( 10x - 20)° = 180°
- 10x° = 180° + 20°
- 10x° = 200°
- x = 20°
- Now, we can put the value of x in given angles,
- (2x+20)° = (40 + 20)° = 60°
- 3x° = 60°
- (5x - 40)° = (100 - 40)° = 60°
So, the angles are 60° , 60° and 60° .
As, all the angles are same it is a equilateral triangle, which has all sides equal.
Let us say, the length of a side of triangle is s,
Then the perimeter of the triangle will be s + s + s i.e., 3s.
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