Explanation:
corresponding angles (CA)
Alternative interior angles (AIA)
co interior angles (CIA)
- question 1 angles =
5 + 3 = 180 ( CIA)
83⁰ + 3 = 180
angle 3 = 180 - 83⁰
angle 3 = 97
angle 8 = angle 3.... CA
angle 8 = angle 16 ....CA
ANGLE 16 = ANGLE 12.....CA
angle 5 = angle 13 ....CA
ANGLE 3 = Angle 6......AIA
ANGLE 5 = ANGLE 4.......AIA
ANGLE 4 = ANGLE 7......CA
ANGLE 6 = ANGLE 1......CA
ANGLE 13 = ANGLE 9......CA
ANGLE 12 = ANGLE 14.....AIA
ANGLE 13 = ANGLE 11.....AIA
ANGLE 14 = ANGLE 10.......CA
ANGLE 11 = ANGLE 15
NOW JUST PUT THE VALUES GIVEN IN QUESTION AND AT THE TOP OF MY ANSWER IN EACH CASE AND UR DONE.....
QUESTION 2 :
ANGLE 1 = ANGLE 7 .......AIA
2X + 40 = 6X - 20
40 + 20 = 6X - 2X
60 = 4X
60/4 = X
15⁰ = X
SO, ANGLE 7 = 6× 15 -20 = 90 - 20 = 70⁰
AND, ANGLE 1 = 2 × 15 + 40 = 30 + 40 = 70⁰
ANGLE 7 = ANGLE 3 ......CA
ANGLE 3 = ANGLE 5 .....AIA
ANGLE 3 + ANGLE 6 = 180 .....CIA
70 + ANGLE 6 = 180⁰
ANGLE 6 = 180 - 70⁰ = 110⁰
angle 2 = Angle 6
ANGLE 2 = ANGLE 8.....AEA ALTERNATIVE EXTERIOR ANGLE
ANGLE 8 = ANGLE 4
NOW, JUST PUT THE VALUES I HAVE WRITTEN ABOVE ACCORDINGLY IN EACH CASE....
Did I really jst got 15 points for this (ノ｀Д´)ノ彡
HEHEEE JK:)