Question

A Triangle having one angle equal to one-third of a straight angle and the other two equal angles are equal to two-third of a right angle

Answer 1

Answer:

all are 60°

Step-by-step explanation:

one angle=1/3 of straight angle

straight angle=180°

1/3 of 180°=1/3×180=60°

other two are equal angles

they are 2/3 of right angle

right angle=90°

2/3 of 90°=2/3×90=60°

so the angles are 60°,60°,60° [it is an equilateral triangle]

Answer 2

Given,

One of the angles in a triangle is one-third of a straight angle, whereas the other two equal angles are two-thirds of a right angle.

To determine,

The angles of the triangle.

Solution,

Following the procedures below, we can easily solve this mathematical problem.

A straight line makes an angle of 180 degrees, as we all know.

According to the question,

One angle of the triangle = $\frac{1}{3} * 180$

                                          = 60°

Now, it is given that the other two angles of the triangle are equal to two-thirds of a right angle, 90°.

Now,

Other two angles of the triangle = $\frac{2}{3} * 90$

                                                        = 60°

Thus,

The angles of the triangle are 60°, 60°, and 60°.

The given triangle is equilateral.