Answer:
1) The value of x is:
2) The degree for angle 1 is: 59°
3) The degree for Angle 2 is: 121°
Step-by-step 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:
[tex]\frac{9x}{9}=\frac{162}{9}[/tex]
[tex]x=18[/tex]
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.
