For parallel lines, slopes are equal.
5x - 3y = -10
3y = 5x + 10
y = 5/3 x + 10/3
Required slope = 5/3
According to the picture, angles 1 and 2 have the same measure because they are corresponding angles. Make equal both expressions for 1 and 2 and find x.

x is 3/2. Replace this value in both expression to find the measure of each angle.

The measure of these angles is 47°
Answer:
d = 90°
e = 41°
f = 139°
Step-by-step explanation:
d + 90° = 180° (Angles in linear pair)
-> d = 180° - 90°
-> d = 90°
e = 41° (vertical angles)
f + 41° = 180° (Angles in linear pair)
-> f = 180° - 41°
-> f = 139°
Answer: Sin N = 
Step-by-step explanation:
Since we have given that
In triangle MPN, ∠P=90°

As we know the formula for "Trigonometric Ratios":

By Pythagorus theorem , we get

So, we get,

Hence, Sin N = 
The answer is Expression I just took that . Hopeful that help :)