78.1k views
1 vote
For the figure shown on the right, find the value of the variable and the measures of the angles

For the figure shown on the right, find the value of the variable and the measures-example-1
User Ifthenelse
by
4.3k points

1 Answer

1 vote

Answer:

x=38

Explanation:

the angles of any triangle always equals 180

so to find x we set up an equation like this: (2x+8)+(2x-18)+X=180

calculate to find x

Combine like terms: (2x+2x+x)+(8+−18)=180

2x+2x+x=5x

8+(-18)=-10

now we have 5x+(-10)=180

Add 10 to 180, then divide 190 by 5.

180+10=190/5=38

x=38

to find the measures put 34 into the angle equations

2(38)-8=58

2(38)+18=84

x=38

User Slakter
by
4.5k points