Question

If the sum of the measures of three consecutive angles is a right angle, then find the angles.

• A. 29°, 30°, 31°
• B. 39°, 40°, 41°
• C. 24°, 25°, 26°
• D. 30°, 40°, 50°

Answer 1

The correct option is A 29°, 30°, 31°

Given, the sum of three consecutive angles is a right angle which measures 90°.

Let the angles measure
$(x-1)°,x°and(x+1)°.$

Then,
$(x-1)°+x+(x+1)°=90°$
$\Rightarrow 3x=90°$
$\Rightarrow x=\frac{90°}{3}=30°$
$\Rightarrow x=30°$

Hence, the angles are :-
$(x-1)°=(30-1)°=29°x=30°(x+1)°=(30+1)°=31°$