Question

please help
The sum of the measures of the angles of any triangle is 180 degrees. In triangle ABC, angles A and B have the same measure, while the measure of angle C is 90 degrees larger than each of A and B. What are the measures of the three angles? Angle a is Angle b is Angle C is

Answer 1

\[180=2x+(x+90)\] x represents the value you don't know <A & <B. <C is 90 degrees bigger than <A or<B. A &B are your 2x and C is x+90
Solve for x

Answer 2

i don't understand

Answer 3

C is drawn obtuse because it is more than 90 degrees

Answer 4

okay

Answer 5

A and B are =

Answer 6

Let's call the measure that we do not know x.
A=x and B=x

Answer 7

C=x+90 because it says "C is 90 degrees larger than each of A and B"

Answer 8

okay

Answer 9

You total sum of the angles inside a triangle is 180degrees

Answer 10

SO let's make an equation to find what the measure of x is

Answer 11

okay

Answer 12

\[180=2x+(x+90)\]

Answer 13

2x is <A + <B and (x+90) is <C

Answer 14

Just solve for x

Answer 15

how

Answer 16

HOW? Have you never solved for x?

Answer 17

no

Answer 18

Then why did you this problem?

Answer 19

You have to know basic algebra to do geometry

Answer 20

im practicing because i am getting ready to start school

Answer 21

What grade?

Answer 22

10 grade

Answer 23

i am not good at math so i am just practicing

Answer 24

Have you ever done any problems with variables?

Answer 25

no this is the first time

Answer 26

What school system are you in? You should have been doing math with variables since at least 7th grade

Answer 27

I live in jersey

Answer 28

i have just never been good at math

Answer 29

Jesus. Hon I am so sorry for you. They really have you guys behind.
Okay back to our equation.

Answer 30

\[180=2x+(x+90)\]

Answer 31

i am trying to work on it before school starts so i do better

Answer 32

with variables, the same letter to the same power are like terms

Answer 33

So you can combine 2x and x into 3x, because they're both positive. so now we have
\[180=3x+90\]

Answer 34

okay

Answer 35

Now you subtract 90 from both sides because what we do to one side we do to the other

Answer 36

That cancels out your 90 on the right side.
Now divide both sides by 3.

Answer 37

The steps we are taking to get x alone is called inverse operations

Answer 38

okay

Answer 39

what do you have now?

Answer 40

im still trying to figure it out

Answer 41

60 is that right ?

Answer 42

180-90=90

Answer 43

then you divide 90 by 3

Answer 44

oh i divided the wrong number okay

Answer 45

30

Answer 46

\[180=2x+(x+90)\]combine like terms
\[180=3x+90\]subtract 90 from both sides\[90=3x\]divide both sides by 3\[30=x\]

Answer 47

SO <A=30, <B=30 and <C=30+90

Answer 48

okay

Answer 49

okay what do you do next ?

Answer 50

Those are your answers. :) <A=30 <B=30 and <C=120

Answer 51

okay i want to write all this down so i can study