An fence gate consists of seven vertical posts, two horizontal bars and a diagonal support bar. The vertical posts are parallel, and the two horizontal bars are each perpendicular to the posts. The angle made between the diagonal support bar and horizontal bar 1 is 47°. What is the measure of angle X?

Answer 1

To find the measure of angle X, we need to find the measure of angle Y first.

Since the diagonal support bar intersects horizontal bar 1 at a right angle, angle Y is also 90°.

Therefore, the measure of angle X is:

180° - angle Y - angle made between diagonal support bar and horizontal bar 1
= 180° - 90° - 47°
= 180° - 137°
= 43°

So, the measure of angle X is 43°.