Question

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

• A. $80°,70°,60°$
• B. $180°,20°,40°$
• C. $50°,40°,90°$
• D. $50°,60°,70°$

Answer 1

The correct option is D

$50°,60°,70°$

Explanation for the correct option:

Determine the all angles of the triangle

It is given that, the angles of a triangle are arranged in ascending order of magnitude and the different between two consecutive angles is $10°$.

Let one angle of a triangle be $x$.
Second angle will be $x+10$.
Third angle will be $x+20$.
It is known that, the sum of interior angles of a triangle is $180°$.
Then,

$\Rightarrow x+x+10+x+20=180°$
$\Rightarrow 3x+30=180°$
$\Rightarrow x=50°$
Thus, the angles are $50°,60°,70°$.

Hence, option (D) is correct answer.