Answer:
Cosy° = 
Step-by-step explanation:
From the picture attached,
By applying all trigonometric ratios in the given right triangle,
Siny° = 
= 
tany° = 
= 
Therefore, Cosy° = 
Cosy° =
Therefore, Cosy° = will be the answer.
Answer:
4
Step-by-step explanation:
Answer:
1. KLP + PLM = 180 degrees (straight line)
2. 3x + angle PLM = 180 degrees
3. angle PLM = 180 - 3x
4. PMN = P + PLM (Exterior angle)
5. 2x + 72 = x + 180 - 3x
6. x = 27
Step-by-step explanation:
1. Notice that angle KLP + angle PLM is a straight line, so KLP + PLM = 180 degrees (straight line)
2. angle KLP = 3x, so
3x + angle PLM = 180 degrees
3. angle PLM = 180 - 3x
4. PMN = P + PLM (Exterior angle)
5. 2x + 72 = x + 180 - 3x
6. 5 gives 4x = 108, so x = 27
