Two Angles are Supplementary when they add up to 180 degrees. Notice that together they make a straight angle. But the angles don't have to be together.
Y would equal 2
x would equal 6
In other words it is (6,2)
Answer:
You set up an equation, using the trig function "tan" to find half of the roof (the equation would be tan(24) = 3.5/x, where x = 1/2 roof width)
Step-by-step explanation:
That would be the first step.
You solve the equation for x, and then multiply x by 2 to get the width of the roof.
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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°
