Question

One angle of a triangle is three times larger as another. the measure of the third angle is 50 degrees more than that of the smallest angle. Find the measure of each angle.

Answer 1

Smallest angle of triangle=26 degrees

Second angle of triangle =78 degrees

Third angle of triangle =76 degrees

Explanation:

Let x be the smallest angle of triangle

Second angle of triangle=3x

Third angle of triangle=x+50

We know that

Sum of angles of triangle=180 degrees

Using the property

`x+3x+x+50=180`

`5x=180-50`

`5x=130`

`x=(130)/(5)`

`x=26` degree

Smallest angle of triangle=26 degrees

Second angle of triangle =3(26)=78 degrees

Third angle of triangle =26+50=76 degrees