Question

I forgot the pic, but somebody help me

Answer 1

angle 1 is 59 and angle 2 is 121

Answer 2

1) The value of x is:

2) The degree for angle 1 is: 59°

3) The degree for Angle 2 is: 121°

Explanation:

First we must find x, to do that we must find out what we are given:

m<1 = (2x + 23)°

m<2 = (7x - 5)°

Now we must see if there is any info that can help us find the angles:

Angle 1 and 2 are supplementary.

The word 'supplementary' is very important as it can help us evalute how to set up our problem.

Supplementary means the sum of 2 angles that create a 180°

So our measures will = 180°

(2x + 23) + (7x - 5) = 180°

Now we must try and find the value of x:

1) Remove the parenthesis, and combine like terms:

2x + 7x + 23 - 5 = 180°

9x + 18° = 180°

- 18° = -18°

---------------------

9x = 162°

2) Divide both sides by 2 in order to get 'x' value by itself:

`(9x)/(9)=(162)/(9)`

`x=18`

Your value of x is 18.

Now you must substitue the value of x into you measures, to get your angles:

(2x + 23)°

2(18) + 23

36 + 23

= 59°

(7x - 5)°

7(18) - 5

126 - 5

= 121°

Is this statement true? Let's find out!

121° + 59° = ?

= 180°

It is true.