SOLUTION: The angles of a pentagon measure x deg, 2x deg, 3x deg, 4x deg, and 5x deg. What is the measure of the smallest angle?

SOLUTION: The angles of a pentagon measure x deg, 2x deg, 3x deg, 4x deg, and 5x deg. What is the measure of the smallest angle?

Algebra.Com

Question 940069: The angles of a pentagon measure x deg, 2x deg, 3x deg, 4x deg, and 5x deg. What is the measure of the smallest angle?
Answer by srinivas.g(540) (Show Source): You can put this solution on YOUR website!
sum of all angles in a pentagon = 540 degrees
given angles = x,2x,3x,4x,5x
sum = x+2x+3x+4x+5x
=15 x
15x =540
divide with 15 0n both sides

smallest angle = 36 degrees
RELATED QUESTIONS
The consecutive angles of a parallelogram measure (x+30)deg and 4x deg. What is the... (answered by laoman)

I have a right triangle with 90 deg, 50 deg and 40 deg angles. The length of leg "a" is... (answered by stanbon)

Calculate the measure for each exterior angle of a regular nonagon?A.)20 deg. (answered by CharStar)

i have gon question there are six sides and seven interior angle what is X=___ degrees,... (answered by Alan3354)

the four angles of a quadrilateral have the same constant difference between hem. if the... (answered by Edwin McCravy)

Sum of all three angles = 180 deg. Sum of equal angles = 55 + 55 = 110 deg. So the... (answered by psbhowmick)

Find the measure of two complementary angles if one angle is 9 deg more than two times... (answered by JBarnum)

in need to find the measure of a triangle when (3x+30)... (answered by tommyt3rd)

Angles A & B combine to form a vertical angle relationship with angle C. Angle C measures (answered by Alan3354)