Equation with angle addition can someone please answer please help

57°

Step-by-step explanation:

We can see that LOM is MON + LON so we can set up an equation to find the value of x then substitute that back into MON to find the value of that angle.

→ In equations its important to keep both sides equal and do operations to both sides and not one because then if you do an operation to only one side then you have changed the equation so it's important to do operations on both sides and that's an important rule to bare in mind.

2x + 33 + 3x + 20 = 113

→ Simplify

5x + 53 = 113

→ Minus 53 from both sides to isolate 5x

5x = 60

→ Divide both sides by 5 to isolate x

x = 12

But we are not finished, we have only found the value of x not the value of MON as we were asked so we have to substitute x back into the expression to find the value of MON

2x + 33

→ Substitute x = 12 back into the expression

2 × 12 + 33

→ Simplify

24 + 33 = 57

The value of MON is 57°

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet