Answer:
Measure of angle 4 is 115°
Step-by-step explanation:
First, we want to find the measure of angle 2, because the measure of angle 2 is equal to angle 4. When 2 straight lines cross each other, the angles formed are always equal to the angle right across from it.
Find angle 2 by setting up an equation:

This is basically saying that angle 1 plus angle 2 equals 180°. In a half turnaround, the angle is 180°. Angle 1 and 2 make up a half turnaround.
Solve the equation:

Combine the 2 x's to get 2x.

Subtract 50 from both sides.

Divide both sides by 2.

Since x=65, plug 65 into x in the measure of angle 2 (x+50).
65+50=115.
Since Angle 2 is equal to angle 4, angle 4 is also 115.
Y - 3 = 2(x - 10) ....this would be ur equation for the new line
Answer: 0
Explanation:
1) Cosine trigonometric ratio definition:
cos (α) = adjacent-leg / hypotenuse
2) P (0,1) ⇒
- adyacent-leg = x-coordinate = 0
- opposite-leg = y-coordinate = 1
- hypotenuse = √[x² + y² ] = 1
3) Therefore, cos(α) = 0 / 1 = 0
50 - [(6² - 24) + 9√25]
= 50 - [36 - 24 + 9*5]
= 50 - [12 + 45]
= 50 - 57
= -7