Question

one of the acute angles of a right angled triangle is twice the third angle.find the other acute angle​

Answer 1

Answer:

The three angles of a triangle add up to 180 degrees.

A right angle is 90 degrees, so the two acute angles have the remaining 90 degrees to split between them in a proportion of 2:1.

As there are three “portions” and 90/3=30, you end up with angles of 1*30 and 2*30 degrees.

So that’s 30 degrees and 60 degrees. Clearly, 30 degrees is the smallest of the three.

Answer 2

Answer:

A right triangle is defined as a triangle with ONE right angle.

A right angle is an angle that equals 90 degrees.

The three interior angles in a triangle always add up to 180 degrees.

If we set variables to our angles we get the equation:

x + y + z = 180

So from there, just plug in the known values.

z = 90 (Because we know there is a right angle in our right triangle)

y = 60 (Because you were given that in the problem)*

*You can set 60 = x also. It doesn’t matter which variable we use.

So,

x + 60 + 90 = 180

Solve,

x + 150 = 180

x = 30

Therefore, the other acute angle is 30 degrees.

Step-by-step explanation:

hope it helps you