Question

(SAT prep) Find the value of x. THIS IS URGENT!! I'LL AWARD WHOEVER GETS THIS RIGHT!!(its timed)

Answer 1

x = 40 degrees

Explanation:

By corresponding angles, the angle above the 75 degree angle is also 75 degrees. Since angles of a triangle add to 180 degrees, x=180-75-65 = 40 degrees.

Answer 2

`x=40^\circ`

Explanation:

Since the two bases are parallel to each other, by the Corresponding Angles Theorem, the left angle of the upper triangle must also be 75°.

And since the interior angles of a triangle always equal 180:

`75+65+x=180\Rightarrow x=40^\circ`