Question

Sat prep find the value of x in each of the following exercises

Answer 1

x=70 degrees!!!

Explanation:

Given that the lines are parallel, we can deduce the measure of angle y. As per the property of alternate interior angles, angle y and the given angle measuring 60° are equal when two lines are parallel. Hence, y = 60°.

Now, considering the triangle, the sum of its interior angles is always 180°. Let's set up an equation to find the measure of angle x:

x + y + 50 = 180

Since we know y = 60°, we can substitute the value and simplify:

x + 60 + 50 = 180

Combining like terms:

x + 110 = 180

To find x, we subtract 110 from both sides:

x = 180 - 110

After calculation, we get:

x = 70°

Therefore, the measure of angle x is 70°.

Answer 2

x=70

Explanation:

Since the lines are parallel, we know angle y

60 and y are alternate interior angles and alternate interior angles are equal when the lines are parallel

y=60

The sum of the angles of the triangle are 180

x+y = 50 =180

x+60+50 =180

x+110 = 180

x = 180-110

x = 70