Question

the angle of a triangle are in ap if the smallest angle is 50 find the other two angles​

Answer 1

Answer:60 deg and 70 deg

Step-by-step explanation:

since 50 is the measure of the smallest angle, lets take a=50

from angle sum property of a triangle, we know that Sn=180

a triangle has three sides. therefore n=3 and S3=180

Sn=n/2[2a+(n-1)d]

180=3/2[2*50+(3-1)d]

180=3[50+d}

60=50+d

d=10

a2=a+d

    =50+10=60

a3=a2+d

    =60+10=70

Answer 2

Answer:

60° and 70°

Step-by-step explanation:

AP= (a) +(a+d) +(a+2d)

Let a= 50°

a+a+d+a+2d=180° (ASP of a Triangle)

50+50+d+50+2d=180°

150+3d=180°

3d=180°-150°

3d=30°

d=10°

So now

a= 50°

a+d= 50°+10°= 60°

a+2d= 50°+2(10°)= 50°+20°= 70°

Hence this is the answer