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DerKrebs
20 days ago
9

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 direc

tly 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

Mathematics
2 answers:
AnnZ [9K]20 days ago
7 0

Answer:

Step-by-step explanation:

(A) It’s stated that if AB turns clockwise at point B to match BC, then the angle computed is=∠ABD+∠DBC=33.3°+30.6°=63.9°.

(B) If a point E is drawn directly across from C, making B, E, and C collinear, then to find the angle by which AB rotates clockwise to align with BE, we have:∠ABE+∠ABD+∠DBC=180° (according to the properties of a straight line)

⇒∠ABE+33.3°+30.6°=180°

⇒∠ABE+63.9°=180°

⇒∠ABE=116.1°

Zina [9.1K]20 days ago
3 0
A) AB rotates clockwise to align with BC

= ABD + DBC

= 33.3° + 30.6°

= 63.9°


b) If E is positioned directly opposite C.

EBC forms a straight line, thus the angle sums to 180°

ABE + ABD + DBC = 180°

ABE + 33.3° + 30.6° = 180°

ABE + 63.9° = 180°

ABE = 180 - 63.1

ABE = 116.9°
Hope this clarifies things.
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