2 angles opposite from each other are vertical angles.
Vertical angles are equal to each other.
Since Y is opposite the given angle of 163 degrees, Y = 163.
P = 2w + 2l where w is the width, and l is the length. We know the length (l) is 3 inches longer than it's width (or l = w+3). Substitute w +3 into Perimeter equation. P = 2w + 2(w+3).
Vertical angles are equal to each other:
∠2 = ∠3
5 + 4y = 6y - 25
→ 30 = 2y
→ 15 = y
∠2 = 5 + 4y = 5 + 4(15) = 5 + 60 = 65
linear pairs equal 180:
∠1 + ∠2 = 180
→ ∠1 + 65 = 180
→ ∠1 = 115
Answer:
Step-by-step explanation:
α + β = 180°
∠BFE and ∠FBC
∠CEF and ∠BCE
The formula for finding circumference is Pi multiplied by diameter.
3.14 x 25ft = 78.5 feet
This would round up to 79 feet in circumference.
