Question

one of the angle of a triangle is 60 degree the difference between the other two angle is 20 then the measure of smalles angle is​

Answer 1

Answer:

The measure of the smallest angle is 50°

Step-by-step explanation:

Let the smallest angle be x.

x + (x + 20) + 60 = 180

2x +80° = 180

x = 100÷ 2

x = 50.

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Answer 2

The measure of smallest angle is​ 50°.

Step-by-step explanation:

The sum of the three angles of a triangle is 180°.

It is provided that one of the angle is 60° and the difference between the other two angle is 20°.

Let the other two angles be denoted by: x and y.

Then, x - y = 20°...(i)

Compute the sum of x and y as follows:

x + y + 60° = 180°

x + y = 180° - 60°

x + y = 120°...(ii)

Add equations (i) and (ii) as follows:

x -  y = 20°

x + y = 120°

_________

2x = 140°

x = 70°

Compute the value of y as follows:

x - y = 20°

70° - y = 20°

y = 70°-20°

y = 50°.

Thus, the measure of smallest angle is​ 50°.

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