Question

the angles of a quadliteral are in ap whose common difference is 10°, find the angles​

Answer 1

Answer:

75°

85°

95°

105°

Step-by-step explanation:

Let the smallest angle be 'a'

d=10

Since, a quad. has four angles

so, n=4

Since sum of all angles is 360.

So,

n/2{2a+(n-1)d}=360

4/2{2*a+(4-1)10}=360

2{2a+30}=360

4a+60=360

4a=300

a=300/4

a=75

1st angle=75

2nd angle=75+10=85

3rd angle=85+10=95

4th angle=95+10=105

You can check as well

75+85+95+105=360

And, common difference between them is 10.