Question

The measure of angles of triangle are in A.P. The smallest angle is 40. Find the angles of the triangle in degree and in radian​

Answer 1

Step-by-step explanation:

$ap \: \: \: \: \: \: \: \: \: 40 \: \: \: \: 40 + d \: \: \: \: \: \: \: 40 + 2d \\ \\ \\ sum \: of \: the \: angles \: of \: triangle \\ \\ 40 + (40 + d) + (40 + 2d) = 180 \\ 120 + 3d = 180 \\ 3d = 180 - 120 \\ 3d = 60 \\ d = \frac{60}{3} \\ d = 20 \\ \\ \\ the \: angles \: of \: triangle \: 40 \: \: \: \: \: \: \: \: 40 + 20 \: \: \: \: \: \: \: \: \: 40 + 2(20) \\ 40 \: \:degrees \: \: \: \: \: \: \: \: 60 \: \: \:degrees \: \: \: \: \: \: 80 \: \: \: degrees.$