Question

3. The acute angles of a right triangle are in the ratio 1:2. Find the angles of the triangle.
(please give stepwise solution)​

Answer 1

Answer:

Given :

• Assume ∆ABC is a right angle triangle.
• The acute angles of a right triangle are in the ratio 1:2.

To find :-

• The measurement of the acute angles.

Solution :-

• Angle Sum Property states that the sum of all the angles of a triangle is 180°.
• Let the angle be x, so that
• x + 2x + 90 = 180°
• or, 3x = 90°
• or, x = 90/3 = 30°

By putting the value of x, we get

x = 30° and

2x = 2(30) = 60°

So, the measurement of the acute angles are 30° and 60° respectively.

Answer 2

Answer:

Step-by-step explanation:

in a right triangle, one angle is 90° for sure...

sum is 180°

so 90+ x + 2x = 180

=  90 + 3x= 180

=   90 - 180 = -3x

-90 = - 3x

x = 30

angles:  30°, 60°,90°

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