Question

The angle by which AB turns clockwise about point B to coincide with BC 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 AB turns counterclockwise to coincide with BE is ? degrees.

fill in the ? marks

Answer 1

Explanation:

We have the statement AB turns clockwise to coincide with BC.

= ABD + DBC

= 33.3° + 30.6°

= 63.9°

Now we have the statement a point E is drawn directly opposite point C. B, E, and C are on the same straight line

EBC is a straight line, so sum of angles =180°

ABE + ABD + DBC = 180°

ABE + 33.3° + 30.6° = 180°

ABE + 63.9° = 180°

ABE = 180 - 63.1

ABE = 116.9° ....