Question

The angles of a triangle are arranged in ascending order of magnitude. If the difference between two consecutive angles is 10°. Find the three angles.
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Answer 1

Answer:

Step-by-step explanation:

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 3 x + 30 = 180. Or 3 x = 180 - 30 = 1 50. Or x = 50. Now, x + 10 = 50 + 10 = 60 and x + 20 = 50 + 20 = 70.

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Answer 2

Let one angle of a triangle be x.

Second angle will be x+10.

Third angle will be x+20.

Using theorem, Sum of interior angles of a triangle is 180°

.

Hence ∠A+∠B+∠C=180°

⇒x+x+10+x+20=180°

⇒3x+30=180°

⇒x=50°

∴ Angles are 50°, 60°, 70°