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The angle of a triangle are in ratio 4:5:6.what is the angle of the triangle?​

User Rimble
by
5.5k points

1 Answer

1 vote

Answer:

48, 60 and 72

Explanation:

Given;

The ratios of the angle in the triangle = 4:5:6;

Unknown:

The angle of the triangle = ?

Solution:

We must understand that the sum of angles in a triangle is 180°

So as ratios; 4:5:6 denotes some certain multiples that sums up to 180°

Let the multiple number = x; so

4x : 5x : 6x

4x + 5x + 6x = 180

15x = 180

= 12

The angles in the triangles are:

4(12) : 5(12) : 6(12)

48 : 60 : 72

These angles are 48, 60 and 72

User Geg
by
5.3k points