Answer:

Step-by-step explanation:
Given:
KL ║ NM ,
LM = 45
m∠M = 50°
KN ⊥ NM
NL ⊥ LM
Find: KN and KL
1. Consider triangle NLM. This is a right triangle, because NL ⊥ LM. In this triangle,
LM = 45
m∠M = 50°
So,

Also
(angles LNM and M are complementary).
2. Consider triangle NKL. This is a right triangle, because KN ⊥ NM . In this triangle,
(alternate interior angles)
(angles KNL and KLN are complementary).
So,

and

Answer:
60
Step-by-step explanation:
As we have all the required values we need, Now we can put them in a simple mathematical formula as below:
STEP 172 = 120% × Y
STEP 272 =
120
100
× Y
Multiplying both sides by 100 and dividing both sides of the equation by 120 we will arrive at:
STEP 3Y = 72 ×
100
120
STEP 4Y = 72 × 100 ÷ 120
STEP 5Y = 60
Finally, we have found the value of Y which is 60 and that is our answer.
You can easily calculate 72 is 120 percent of what number by using any regular calculator, simply enter 72 × 100 ÷ 120 and you will get your answer which is 60