Question

The angle of a triangle are in ap and its greatest angle is 75 find the least angle of actriangle in rafian

Answer 1

Answer:

0.78 Radian

Step-by-step explanation:

angles are in AP

so, a + (a + d) + (a + 2d) = 180 ...eq 1

also it is given that greatest (a + 2d) = 75 ...eq 2

from eq 1 and eq 2, 2a + d = 105 ... eq 3

from eq 2 and eq 3, d = 15

so the angles are 45, 60 and 75

least = 45 degrees

in radians => 45 × $\frac{\pi }{180}$

= 0.78 rad