Mo bisects angle lmo = 6x-22, and angle nmo = 2x + 34. solve for x and find angle lmn.

Step by step explanation

1) 6x-22=2x+34  both the angles are equal to each other because when you biset an angle you break it up into 2 equal parts

2) 4x=56 Collect like integers

3) x=14 Divide both sides by 4 to get x by itself

The answer is x=14

x = 14

Step-by-step explanation:

We are given the following information in the question:

We are given an angle LMN. It is bisected by bisector MO.

An angle bisector divides the angle into two equal angles.

Now, these two angles are equal. Thus, equating them we get:

Thus, x = 14.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3