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?

Answer 1

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

Answer 2

Scale factor is 2

Answer 3

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

Answer 4

@jim_thompson5910

Answer 5

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

Answer 6

Add them up? What will I be adding up?

Answer 7

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

Answer 8

Ohh, X = 120 !

Answer 9

correct, x = 120 so x/2 = 60

Answer 10

which is the measure of angle E

Answer 11

I got 540 from this formula

S = 180(n-2)

n = 5 in this case

Answer 12

Yep, I got it.