Geometry -
Note: All the letters are angles inside of a pentagon.
A,B,C,D are congruent. The ratio of A:E is 2:1 . What is the measure of Angle E?

Question

Geometry -
Note:  All the letters are angles inside of a pentagon.
A,B,C,D are congruent.  The ratio of A:E is 2:1 .  What is the measure of Angle E?

anonymous · Answer

E has to be half of the other numbers, and the other numbers are all congruent.

anonymous · Answer

Scale factor is 2

anonymous · Answer

Angle E must be 1/2 of all the other angles.

anonymous · Answer

@jim_thompson5910

jim_thompson5910 · Answer

You should have these 5 angles

A = x
B = x
C = x
D = x
E = x/2

add them up and set that sum equal to 540 and solve for x

anonymous · Answer

Add them up?  What will I be adding up?

anonymous · Answer

Is it 4x + x/2 = 540? @jim_thompson5910

anonymous · Answer

Ohh, X = 120 !

jim_thompson5910 · Answer

correct, x = 120 so x/2 = 60

jim_thompson5910 · Answer

which is the measure of angle E

jim_thompson5910 · Answer

I got 540 from this formula

S = 180(n-2)

n = 5 in this case

anonymous · Answer

Yep, I got it.