Answer:
57°
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°