Given:
Two lines intersect each other.
Consider the below figure attached with this question.
To find:
The value of x.
Solution:
If two lines intersect each other then the vertically opposite angles are congruent and their measures are equal.
In the given figure, the measures of two vertically opposite angles are (2x+29)° and (9x-13)°.



Divide both sides by -7.


Therefore, the value of x is 6.
What is 3 times the number?
3*66 = 198
Answer:
according to theorm 8 of basic geometry the answer is 6
<em>26</em>
- Step-by-step explanation:
<em>- 4x + 3y + z =</em>
<em>= -4(-5) + 3(2) + 0</em>
<em>= 20 + 6 + 0</em>
<em>= 26</em>
<em />
-7x - 2y = 19
4x + y = -12
Set y equal to each other (opposite signs are fine and you could also set x equal instead of y)
-7x - 2y = 19
8x + 2y = -76
Add equations together
x = -52
Plug x value into an equation
4(-52) + y = -12
Solve for y
-208 + y = -12
y = 196
Hope this helps! ;)