Question

In a triangle the largest angle is 20o more than the smallest angle. The third angle is 10o more than the smallest angle. a) What is a sum of all angles in the triangle?
b) Find the measure of the smallest angle.
c) Find the measure of other two angles.

Answer 1

Answer:

The sum of the angles in a triangle is 180

b) Given ,

The largest angle of triangle is 20 degree more than the smallest angle

The third angle is 10 degree more than the smallest angle

Let ,

The smallest angle be ' x '

Then , Largest angle = x + 20

Third angle = ' x + 10 '

We know that ,

The sum of the angles in a triangle is 180

Thus ,

x + x + 20 + x + 10 = 180

3x + 30 = 180

3x = 150

x = 150/3

x = 50

\therefore∴ The measures of the angles of triangle are 50 , 70 and 60

Step-by-step explanation:

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