Question

if the measure of angles of tringle are in ratio 3:4:5 then sum of greatest and smallest angle is?​

Answer 1

smallest angle = 45

greatest angle = 75

Answer 2

Answer:

120°

Step-by-step explanation:

Given,

• Ratio = 3 : 4 : 5

Let the common ratio be x.

Hence, the angles are: 3x, 4x, 5x

Now, we know,

Sum of all angles in a triangle is 180°

A.T.P.

=) 3x + 4x + 5x = 180°

=) 12x = 180°

=) x = 180°/12

      = 15°

Hence, the angles are: 3*15° = 45°

                                       4*15° = 60°

                                       5*15° = 75°

Thus,

Greatest angle = 75°

Smallest angle = 45°

And their sum = 75°+45° = 120°

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