Question

The angles of a triangle are arranged in ascending order of magnitude. If the difference between two consecutive angles is 10°, find all the three angles

Answer 1

in ascending order or magnitude.ifthe difference between two consecutive angles is 10 ,find the three angles
Asked by 5th September 2012, 8:21 PM
Answered by Expert
Answer:
Let the measure of three angles of the triangle be x degrees, (x + 10) degrees and (x + 20) degrees.
It is known that the sum of three angles of a triangle is 180 degrees.
i.e. x + (x + 10) + (x + 20) = 180
Or 3x + 30 = 180
Or 3x = 180 - 30 = 1 50
Or x = 50
Now, x + 10 = 50 + 10 = 60 and x + 20 = 50 + 20 = 70

Therefore, the measures of three angles of the triangle are 50 degrees, 60 degrees and 70 degrees.

Answer 2

The correct answer is 50°, 60° and 70°.

Given: Difference between two consecutive angles is 10°.

To Find: All the three angles of triangle.

Solution:

Let the first angle = x.

As the angles are arranged in ascending order and the difference between consecutive angles is 10°.

The second angle = x+10

The second angle = x+20

Sum of all the angles in triangle = 180°.

x+x+10+x+20 = 180°

3x + 30 = 180°

3x = 150°

x = 50°

The second angle = x+10 = 50+10 = 60°

The second angle = x+20 = 60+10 = 70°

Hence, all the three angles of the triangle are 50°, 60° and 70°.

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