Question

the internal angle of a triangle are in AP the smallest angle is 45 find the remaining angle
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Answer 1

Step-by-step explanation:

smallest angle or a = 45

angles in AP = a , a+d, a+2d

let angles of tringle = a , b , c

sum of angles of triangle = 180

( angle sum property )

a +b +c = 180

a +a+d+a+2d = 180

45 +45+d+45+2d =180

135 + 3d = 180

3d = 180 - 135

3d = 45

d = 45 / 3

d = 15

remaining angles of triangle=

a +d, a+ 2d

45+15 = 60

45 + 2 ×15 = 45 + 30 = 75

all angles of triangle = 45 ,60 ,75