Suppose that
△GHI
is isosceles with base
GI
.
Suppose also that
m∠G= 4x +10°
and
m∠H= 2x +30°
.

Find the degree measure of each angle in the triangle.

Question

Suppose that 
△GHI
 is isosceles with base 
GI
. 
Suppose also that 
m∠G= 4x +10°
 and 
m∠H= 2x +30°
.

Find the degree measure of each angle in the triangle.

anonymous · Answer

@BloomLocke367 it's been 4 years lol remind me how I go about this and the total of angles?

bloomlocke367 · Answer

oh, well you know that there are 180 degrees in a triangle, right?

anonymous · Answer

yes and isosceles triangles have two angles that are the same right?

anonymous · Answer

how do I find the angles based off of those equations?

anonymous · Answer

@mathmate

mathmate · Answer

With geometry problems, it almost always helps to draw a diagram.
I'll do that and let you do the rest.
|dw:1431546034041:dw|
Remember that in the given isosceles triangle, GI is the base, which means that angle G=angle I.
Set up an equation and solve for x, hence the angles.

anonymous · Answer

the 2x +30 is at the top, and I know they gave me a picture =) I'm just having a hard time starting off to solve the equations,  it looks so simple but what am I doing am I getting x alone orrr

mathmate · Answer

It does not matter if the triangle is drawn upside-down as long as the angles are correctly labelled.  The answer will not change.

bloomlocke367 · Answer

|dw:1431546523359:dw|

mathmate · Answer

@BloomLocke367 
Question says isosceles with base GI, which means angle G = angle I.

anonymous · Answer

no that's right that's what I was saying her graph has the angles matched with the proper equations

mathmate · Answer

@Cassandra_Lea_96 
I did not draw the correct diagram.  Go with @BloomLocke367 's version. 
I am certain Bloom will help you get the correct answer.

anonymous · Answer

I see the graph I know once I solve 4x+10 the other two will be easy I just need to be reminded how the equation works I know it seems way to simple for me to be asking but it's been a while

bloomlocke367 · Answer

you could do $2x+30+4x+10+4x+10=180$ to find x.

bloomlocke367 · Answer

you would then plug x into the individual angles to find the degree of each angle

bloomlocke367 · Answer

@Cassandra_Lea_96

anonymous · Answer

i'm here just still figuring it out

anonymous · Answer

so 10x+50 =180

bloomlocke367 · Answer

yes, now solve for x

anonymous · Answer

13

anonymous · Answer

which gives me 62, 62, and 56 which adds up to 180 thank you!

bloomlocke367 · Answer

you're welcome!