Question

Select the correct answer from each drop-down menu. The angle by which turns clockwise about point B to coincide with is degrees. If from point B, a point E is drawn directly opposite point C so that B, E, and C are on the same straight line, the angle by which turns counterclockwise to coincide with is degrees.

Answer 1

Explanation:

According to the attached picture:

A) The angle by which AB turns clockwise about point B to coincide with BC is degrees.

ABD+DBC

= 33.3° + 30.6°

= 63.9°

Now the second part of the question states that:

B) If from point B, a point E is drawn directly opposite point C so that B, E, and C are on the same straight line, the angle by which AB turns counterclockwise to coincide with BE is degrees.

EBC is a straight line therefore sum of angles = 180°

ABD + ABE+DBC = 180°

33.3° + ABE+30.6° = 180°

ABE+33.3°+30.6°=180°

ABE+63.9°=180°

ABE=180°-63.9°

ABE = 116.1° ....