give answers of all questions...upto 21 to 24
Answers
Answer:
Step-by-step explanation:
Answer:
21) 45 Degrees
22)
(a) Angle AOC = 80 Degrees
(b) Angle COB = 100 Degrees
(c) Angle BOD = 80 Degrees
(d) Angle DOA = 100 Degrees
23)
(a) Angle BOC = 100 Degrees
(b) Angle COD = 50 Degrees
(c) Angle DOE = 30 Degrees
(d) Angle EOF = 100 Degrees
(e) Angle FOA = 50 Degrees
24)
(a) Angle AOB = 45 Degrees
(b) Angle BOC = 60 Degrees
(c) Angle COD = 75 Degrees
(d) Angle DOE = 80 Degrees
(e) Angle EOA = 100 Degrees
Step-by-step explanation:
21) Since y + z = 3x then Angle AOD = 3x + x = 4x but since Angle AOD is a straight angle so 4x = 180 ---> x = 45
22) Focusing at Angle AOB : as you can see 5x + 4x = 9x but it's also a straight angle so 9x = 180 ---> x = 20
(a) Angle AOC = 4*20 = 80 Degrees
(b) Angle COB = 5*20 = 100 Degrees
(c) Angle BOD = Angle AOC = 80 Degrees
(d) Angle DOA = Angle COB = 100 Degrees
23) Focusing at Angle FOC : 6x + 30 = 180 ---> x = 25
Focusing at Angle AOD : 4x + 30 + y = 180 ---> y = 50
(a) Angle BOC = 4*25 = 100 Degrees
(b) Angle COD = 50 Degrees
(c) Angle DOE = Angle AOB = 30 Degrees
(d) Angle EOF = Angle BOC = 100 Degrees
(e) Angle FOA = 2*25 = 50 Degrees
24) Focusing at the circular angle O : 25x - 15 = 360 ---> x = 15
(a) Angle AOB = 3*15 = 45 Degrees
(b) Angle BOC = 4*15 = 60 Degrees
(c) Angle COD = 5*15 = 75 Degrees
(d) Angle DOE = 6*15 - 10 = 80 Degrees
(e) Angle EOA = 7*15 - 5 = 100 Degrees