Answer:
Step-by-step explanation:
Parallel lines. A & B are corresponding angles and corresponding angles are equal.
∠A = ∠B
8x - 8 = 5x + 25
Add 8 to both sides
8x - 8 + 8 = 5x + 25 + 8
8x = 5x + 33
Subtract 5x from both sides
8x - 5x = 5x +33 - 5x
3x = 33
Divide both sides by 3
3x/3 = 33/3
x = 11
∠B = 5x + 25 = 5*11 + 25 = 55 +25 = 80
∠B = 80°
Answer:
Where is the rectangle?
Step-by-step explanation:
Let us assume base of the window = b feet.
Height is 3 feet less than base, that is = (b-3).
Given area of the triangle = 20 feet square.
We know formula for area of a triangle:
Area = × Base × Height
Plugging values in formula, we get
20 =
Factoring quadratic, we get
=0
b+5=0
b=-5
b-8=0
b=8.
For base we can take only positive value.
<h3>Therefore, base of the triangle = 8 feet and height = 8 -3 = 5 feet.</h3>
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