SOLUTION: A 5-sided polygon has interior angles as ∠a,∠2a,∠3a,∠4a, and ∠5a. If the smallest exterior angle is 30,find the second smallest interior angle.

Algebra.Com
Question 852691: A 5-sided polygon has interior angles as ∠a,∠2a,∠3a,∠4a, and ∠5a. If the smallest exterior angle is 30,find the second smallest interior angle.
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
Use the formula



substituting 5 for n to calculate the sum, then write the sum of the
5 given interior angles and set it equal to that value:

a+2a+3a+4a+5a =  

Then solve that equation for "a".

Then after getting "a", the second smallest angle will be "2a°.

Edwin
RELATED QUESTIONS

If angle∠ A and angle∠ B are supplementary angles and angle∠ (answered by Alan3354)
Triangle ABC has an exterior angle, ∠DAB, and two remote inner angles, ∠B and (answered by ankor@dixie-net.com)
∠x and ∠y are complementary. If m∠x = a + 3 and m∠y = 2a + 6,... (answered by nerdybill)
Suppose ∠A and ∠B are complementary angles. If ∠A = 2x-6 and ∠B = (answered by LinnW)
∠A and ∠B\angle B∠B are vertical angles. If... (answered by josgarithmetic)
In the figure below, line m is parallel to line n, and line t is a transversal crossing... (answered by richard1234)
if ∠a and ∠b are complementary angles and m∠a=5m∠b, find... (answered by Edwin McCravy)
If ∠ A and ∠ B are supplementary angles and ∠ A is nineteen times as... (answered by stanbon)
∠A and ∠B are complementary. If ∠B = 41°, what is the measure of... (answered by ikleyn,math_helper)