Question

PLEASE HELP!! 85 POINTS!!

Answer 1

The measurement of ∠x is 20°

Explanation:

From this problem, we are given a few pieces of information. First we know that DE is parallel to FG. We also know that KL is perpendicular to FG. Perpendicular means that the angles from KL and FG are going to form right angles.

So, knowing this, we can start off my saying that the measurement of ∠KAE is 90°.

We can also say that the measurement of ∠IAD is 70° because it is correspondent to ∠JCG and corresponding angles have the same measurements.

So, now we can find x. Set up equation.

70 + x + 90 = 180

Add 70 to 90.

x + 160 = 180

Subtract 160 on both sides.

x = 20

So, the value of x is 20°

Answer 2

20

Step-by-step explanation:

Angle EAC and angle GCJ are corresponding angles.

So angle EAC is equal to 70 degrees.

Angle KAE is a right angle, so it is 90 degrees.

Angles on a line add up to 180 degrees.

x + 90 + 70 = 180

x = 180 - 160

x = 20