Question

two angles of a triangle are in the ratio 1:2 .If the sum of these angles is equal to the third angle, find the angles of the triangle .What type of triangle as acute, obtuse, right, scalene, isosceles or equilateral

Answer 1

$\textbf{\huge{ANSWER:}}$

$\sf{Given:}$

Ratio of two angles = 1:2
Sum of these two angles = 3rd angle

Let one angle be = x
Other angle = 2x
Sum of these two = x + 2x = 3x

According to the angle sum property:-

x + 2x + 3x = 180°

=》 6x = 180°

=》 x = $\frac{180°}{6}$

=》 $\bf{x = 30°}$

Other angles = 60° and 90°

Since we have a 90° here, this triangle proves to be a $\bf{Right\:Angled\:Triangle}$