the angles of triangle are in ratio 2 ratio 3 ratio 4 find the measure of each angle of the triangle
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Answered by
8
Answer:
Let the angles are 2x, 3x and 4x. According to the angle sum property, the sum of interior angles of a triangle is 180 degree. The value of x is 20. Therefore the angles of triangle are 40, 60 and 80.No
Answered by
13
Answer:
Let's assume the ratio 2 : 3 : 4 as 2x : 3x : 4x
Sum of measure of all sides of a triangle - 180°
So, we can say
2x + 3x + 4x = 180
= 9x = 180
= x = 180 ÷ 9
= x = 20.
Measure of x is 20
So, the measure of all the sides of the triangle in the ratio would be
(20 × 2) : (20 × 3) : (20 × 4)
= 40 : 60 : 80
So, the measure of the three angles of the triangle is 40°, 60° and 80° .
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