Question

please help, 1. A pair of congruent angles is described as follows. The measure of one angle is 20 more than twice a number, and the other angle is 68 less than 4 times the same number. What is the size of the two angles?
a. Define the variable: (1 point)


b. Find an expression for the first and second angle. (1 points)




c. Write the equation that represents this situation. (2 points)



d. Solve for x. (2 points)



e. Answer in complete sentence: (1 points)

Answer 1

well what are you solving for in this situation?
That's the variable

Answer 2

thanks

Answer 3

now i need help with the other ones

Answer 4

Ok
So let's say x is the angle
So 2 times x plus 20 is the expression for the 1st angle
And 68 less than 4 times x is the expression for the other angle
What would be the mathematical representation of those expressions?

Answer 5

x?

Answer 6

Well yes
but how would you write "20 more than 2 times x)

Answer 7

2(x+10)?

Answer 8

Yeah
That's correct but just a bit unnecessary to have the two on the outside
Just distribute making it 2x+20

Answer 9

Now do the same thing using the "68 less than 4 times x)

Answer 10

-4x+60?

Answer 11

Umm no
Where did you get 60 from when it says 68
Also try switching your positives and negatives around

Answer 12

4x+68?

Answer 13

Close
Less than means you are subtracting

Answer 14

4x-68?

Answer 15

Yup
4x-68 and 2x+20 are the answer to B

Answer 16

For C all you have to do is set them equal to each other because they are cocngruent

Answer 17

what about c and d?

Answer 18

and d?

Answer 19

Well solve for x
Isolate it from the rest and that is your answer as to what the side equals