Answer: Choice A- 36
Step-by-step explanation:
Create an equation for finding the measurement of angle x.
The interior angles of a triangle always add up to 180° while the exterior angles of a triangle are equal to the sum of the two interior angles that are not adjacent to it. Another way to calculate the exterior angle of a triangle is to subtract the angle of the vertex of interest from 180°
We are given two out of the three angles. The first angle we are given measures 65° while the second angle measures 79°. Since all three angles always add up to 180°, we can add 65°, 79° and x° to equal 180°. This gives us the equation 65 + 79 + x = 180.
Now solve for x.
The first step in solving for x is combining like terms, so add 65 and 79. This gives us the equation 144 + x = 180
The next step in solving for x is to get by itself on one side of the equation and to have the number on the other side of the equation by itself. In order to do this, subtract 144 from each side of the equation to eliminate the number from the side with x in it.
This gives us the equation x = 36 which is our answer. The value of x is 36. Hope this helps, and have a great day!
[tex]65+79+x=180[/tex]
[tex](65+79)+x=180[/tex]
[tex]144+x = 180[/tex]
[tex](144 - 144)+x= (180-144)[/tex]
[tex]x=36[/tex]
