Lines x and y intersect to form angles 1,2,3, and 4. The measure of angle 3 is (3x - 9) and angle 4 is 111 degrees.
Can you help me make a equation
I think the equation is 3x-9 + 11 = 180
is this correct
Implied in the question is that angles 1,2,3,4 are in either clockwise or counter-clockwise order.
If that is true, then angles 3 and 4 are adjacent and supplementary (add up to 180°).
The proposed equation is correct if the two angles are adjacent:
3x-9 + 111 = 180
(note correction in typo).
¡çLMN and ¡çNMO are adjacent angles that share MN
ČČČČĉ
as a side. Together, those two angles form ¡çLMO.
What equation can you write that shows the relationship between m¡çLMN , m¡çNMO , and m¡çLMO
To determine the correct equation for this problem, we need to consider the properties of intersecting lines.
When two lines intersect, opposite angles are congruent. Therefore, angle 3 and angle 4 must be equal in measure.
Given that the measure of angle 4 is 111 degrees, we can write the equation:
(3x-9) = 111
Now we can solve for x by isolating the variable:
3x = 111 + 9
3x = 120
Finally, divide both sides by 3 to solve for x:
x = 40
So, the correct equation is:
(3x - 9) = 111