Please help me with this Geometry problem:
Given the following diagram, find the missing measure.

https://heritagehomeschoolks.ignitiaschools.com/media/g_geo_2014/3/page68a.gif

m

Question

Please help me with this Geometry problem:
Given the following diagram, find the missing measure.

https://heritagehomeschoolks.ignitiaschools.com/media/g_geo_2014/3/page68a.gif

m<4 = 2x°, m<2 = (4/3)x°, m<3 = 20°, find x.

10

20

30

60

Thank you!!

directrix · Answer

Theorem: The measure of an exterior angle of a triangle = the sum of the two remote interior angles.

directrix · Answer

Solve for x:  2x = (4/3)*x + 20

@kla01

kla01 · Answer

Thank you @directrix

kla01 · Answer

I wrote the equation the wrong way. I put that they equalled 180.

directrix · Answer

@kla01  You are welcome. 

What did you get for the answer?

kla01 · Answer

I got 30 as the answer.

directrix · Answer

Okay. Let me see what I get. Hold on.

directrix · Answer

Yes, I got x = 30 also.

kla01 · Answer

Thank you so much!