2 angles of triangle are 3 times and 5 times of the first angle. find all the angles of the triangle
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Answer:
Step-by-step explanation:
Answer:
The angles of the triangle are 30° , 60° and 90°
Step-by-step explanation:
Given :
Two angles of a triangle are two times and three times the first angle.
To find :
all the angles of the triangle
Solution :
Let the first angle be x°
Two times the first angle = 2x°
Three times the first angle = 3x°
Concept : The sum of all the three angles of the triangle is equal to 180°
x° + 2x° + 3x° = 180°
6x° = 180°
x = 180°/6
x = 30°
The first angle = 30°
2x = 2(30°) = 60°
3x = 3(30°) = 90°
Therefore, the angles of the triangle are 30° , 60° and 90°
Know More :
As one of the angles of the triangle is 90°, the triangle is a right angled triangle.
Answered by
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Answer:
20°,60°,100°
Step-by-step explanation:
LET ONE ANGLE BE= x
ACC. TO QUESTION,
OTHER 2 ANGLES WILL BE= 3x, 5x
sum of all angles of triangle = 180 (angle sum property)
x+3x+5x = 180
9x = 180
x = 180/9
x = 20°
3x = 3×20 = 60°
5x = 5×20 = 100°
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