Question

One angle of triangle is 61' and the other two angles are in the ratio 3/2:4/3. Find these angles

Answer 1

Answer:

Step-by-step explanation:

Let the angles be 3/2 x and 4/3 x

We know that sum of angle of a triangle is 180

3/2 x+4/3 x + 61=180

17/6 x=119

x=42

therefore the angles are

3/2*42=63

4/3*42=56

Answer 2

Concept:

Angle sum property of triangle:

Sum of all interior angles is equal to 180°

Given:

Angle of triangle = 61°

Ratio of other two angles = 3 / 2 : 4 / 3.

Find:

The other angles.

Step-by-step explanation:

Let the angles be:

3 / 2 x and 4 / 3 x

We know that:

The sum of angle of a triangle is 180° ( angle sum property)

This means:

3 / 2 x + 4 / 3 x + 61° = 180°

17 / 6 x = 119°

x = 42°

First angle = 3 / 2 x = 3 / 2 × 42° = 63°

Second angle = 4 / 3 x = 4 / 3 × 42° = 56°

Therefore the angles are 63° and 56°.

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