Question

the three angles of a triangle are in ratio 1:2:1. Find all the angles of the triangle

Answer 1

Given,

The three angles of a triangle are in the ratio 1:2:1.

To find,

The measurement of angles.

Solution,

The three angles of a triangle are 45°, 90° and 45° respectively.

We can easily solve this problem by following the given steps.

We know that the sum of all the three angles in a triangle is 180° and the sum of all the four angles in a quadrilateral is 360°.

Now, let's take the three angles to be x, 2x and x respectively (because the ratio is given to be 1:2:1).

Then,

x + 2x + x = 180°

3x + x = 180°

4x = 180°

x = (180/4)°

x = 45°

Hence, the first angle will be 45°.

The second angle will be 2×45 that is 90°.

The third angle will be 45°.

Answer 2

Answer:

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Step-by-step explanation:

x+2x+x = 180°
4x = 180°
x = 180°/4
x = 45°
2x = 90°
Thus the angles are 45° , 90° , 45°