Answer:
x = 21°
y = 29°
Step-by-step explanation:
a) Solving for x
Note that:
(3x - 3)° and 60° are Alternate interior angles, and alternate interior angles are equal to each other, hence:
3x - 3 = 60° (Alternate interior angles)
Add 3 to both sides
3x - 3 +3 = 60 + 3
3x = 63°
x = 63°/3
x = 21°
b) Solving for y
Notes that:
(3x - 3)° and (4y + 4)° are Consecutive interior angles and the sum consecutive interior angles is 180°
3x - 3 + 4y + 4 = 180°
3x + 4y - 3 + 4 = 180°
3x + 4y + 1 = 180°
Note that x = 21
Hence
3(21) + 4y + 1 = 180°
63 + 1 + 4y = 180°
64 + 4y = 180°
Subtract 64 from both sides
64 - 64 + 4y = 180° - 64
4y = 116°
y = 116/4
y => 29°
Answer:
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Answer:
Step-by-step explanation:
1/4 x 2 = 2/4
2/4 simplified = 1/2
Two numbers with factors 2,3,5 are 30 and 60.
when we multiply 2 x 3 x 5 = 30
we get answer 30 and then again multiply with the number that is greater than 1 is 2 and then we get 2 x 2 x 3 x 5 = 60
So the first two numbers with factors 2, 3 and 5 are 30 and 60.