Question

The angles of a triangle are (x + 10)°, (x + 30)° and (x - 10)°. Find the value of 'x'. Also, find the measure of each angle of the triangle.

Answer 1

For ant triangle, sum of measures of all three angles = 180°
Thus, we have
( x + 10)° + ( x + 30)° + ( x - 10)° = 180°
⇒ x° + 10° + x° + 30° + x° - 10° = 180°
⇒ 3x° + 30° = 180°
⇒ 3x° = 150°
⇒ x = 50°
Now,
( x + 10)° = (50 + 10)° = 60°
(x + 30)° = (50 + 30)° = 80°
(x - 10)° = (50 - 10)° = 40°
Thus, the angles of a triangle are 60°, 80° and 40°.