Question

Please Help! http://www.image-maps.com/uploaded_files/8201306251853277_parallelogram.png

Answer 1

The two angle measures on the right side add to 180.
Use that to write an equation. Solve the equation for m.
Then in a parallelogram, opposite angles are congruent, m<1 equals the measure of the upper right angle.

Answer 2

im sorry... i still dont understand. can you help a little more?

Answer 3

Yes.
In a parallelogram, there a few things known about angles:
1. opposite angles are congruent
2. consecutive angles are supplementary

Answer 4

The second one means that any two angles in a row in a parallelogram have measures that add up to 180.

Answer 5

5m and 3m + 20 are the measures of two consecutive angles in a parallologram. That means the sum of 5m and 3m + 20 is 180.

Answer 6

If you write that as an equation, you can solve for m.
5m + 3m + 20 = 180

Answer 7

Can you solve that equation for m?

Answer 8

i think so.. ill try

Answer 9

IS It 20?

Answer 10

@mathstudent55

Answer 11

5m + 3m + 20 = 180
8m + 20 = 180
8m = 160
m = 20
Correct.
Now plug in m into 3m + 20 to get the measure of the upper right angle.

Answer 12

@mathstudent55 80?

Answer 13

Correct. Now you know the upper right angle measures 80.
Now look above and look for the two statements I wrote about angles of a parallelogram.
What do you know about the measures of opposite angles?

Answer 14

Their congruent @mathstudent55

Answer 15

Right.
Congruent angles means the same measure.
Angle 1 is opposite the upper right angle.
Angle 1 is congruent to the upper right angle.
If the upper right angle measures 80, what does angle 1 measure?

Answer 16

80? @mathstudent55

Answer 17

Correct!
m<1 = 80
That's it

Answer 18

=D Thankssss.

Answer 19

wlcm