What is the value of x? Enter your answer in the box. x = Image shows triangle G E H with angle bisector E D. Angle G E D is congruent to angle H E D. G E is 63.8 feet. E H is 55 feet. G D is 58 feet. D H is x plus 4 feet.

x = 46 ft

Step-by-step explanation:

We use the Angle Bisector Theorem to help solve this.

When we draw out the triangle, we should see that our angle bisector theorem would equal to:

We then cross multiply and solve for x:

63.8(x + 4) = 55(58)

63.8x + 255.2 = 3190

63.8x = 2934.8

x = 46

  x = 46 ft

Step-by-step explanation:

We use the Angle Bisector Theorem to help solve this.

When we draw out the triangle, we should see that our angle bisector theorem would equal to:

We then cross multiply and solve for x:

63.8(x + 4) = 55(58)

63.8x + 255.2 = 3190

63.8x = 2934.8

x = 46

Step-by-step explanation:

Step-by-step explanation:

Angle ABD is congruent to angle BDC by alternate interior angles of the parallel sides AB and DC.

Angle GEB is a right angle by given.

Angle DFC is a right angle by given.

The remaining angles for each triangle are congruent by sum of angles of a triangle is 180 degrees.

The two triangles are similar by  angle-angle-angle.