Pls help this is due today! Find the m

First, use the sum of angles in a quadrilateral theorem to find the value of the parameter ([tex]x[/tex]). This theorem states that the sum of all angle measures in a quadrilateral is ([tex]360[/tex]). After finding the value of ([tex]x[/tex]), substitute it back into the given value for the ([tex]m<LMJ[/tex]), and solve.

2. Finding ([tex]x[/tex])

Remember, the sum of angle measures in any quadrilateral is 360 degrees, regardless of the quadrilateral type.

Using this knowledge, one can apply it by saying;

[tex]m<K + m<J + m<M + m<L = 360[/tex]

Substitution,

[tex](93) + (76) + (11x-2) + (14x - 7) = 360[/tex]

Combine like terms;

[tex]160 + 25x = 360[/tex]

Inverse operations;

[tex]160 + 25x = 360\\-160\\\\25x = 200\\/25\\\\x = 8[/tex]

3. Finding ([tex]m<LMJ[/tex])

Substitute back in to find the [tex]m<LMJ[/tex]

[tex]11x - 2\\\\x=8\\\\11(8) - 2\\\\88 - 2\\\\86[/tex]

THEKERMIT57GO THEKERMIT57GO · Answer 2

Answer:

m∠M = 86

Step-by-step explanation:

the angles of a quadrilateral equal 360°, adding ∠K and ∠J together we get 169°.

360 - 169 = 191, meaning ∠L and ∠M have to add up to 191.

substitute the values of ∠L and ∠M to make the equation

14x -7 + 11x -2 = 191

combine like terms 14x + 11x and -2 - 7 to get 25x -9 =191

now solve for the value of x by first adding 9 to both sides and then dividing each side by 25 like so:

25x -9 = 191 → 25x = 200 → 25x = 200 → x = 8

+9 +9 /25 /25

Now put the value of x into the equation for angle M like this:

11(8) -2 = M and solve, 11×8 = 88, 88 -2 = 86, so the measure of ∠M is 86