Question

the measure of all the four angles of a quadrilateral form an AP . If the comman difference is 10, find the measures of all the angles.

Answer 1

Let the first angle be a.

The next angles are:a+0d=a

a+1d=a+d

=a+2d

and a+3d

Since d=10 they are a,a+10,a+20,a+30

Given:

d=10

a+a+10+a+20+a+30=360°

=4a+60°=360

=4a=300

a=300/4

=a=75°

The angles are:75°,75+10°,75+20°,75+30°

=75°,85°,95°,105

Hope it helps.