The angles of a triangle are in AP (arithmetic progression). If the measure of the smallest angle is 50º less than that of the largest angle, then find the largest angle (in degrees).
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 85.
Let the three angles are, (a - d) (a) (a + d).
According to the question,
a - d + a + a + d = 180
3a = 180
a = 60
(a + d) - (a - d) = 50
2d = 50
d = 25.
Largest angle = a + d = 60 + 25 = 85°.