Given: ∠1 and ∠2 are supplementary; ∠1 and ∠3 are supplementary
Prove: ∠2 ≅ ∠3

Statements
1. ∠1 and ∠2 are supplementary
2. m∠1 + m∠2 = 180°
3. ∠1 and ∠3 are supplementary
4. m∠1 + m∠3 = 180°
5. m∠1 + m∠2 = m∠1 + m∠3
6. m∠2 = m∠3
7. ∠2 ≅ ∠3

I need the reasons for these statements.

answer: y = -12x + 108

step-by-step explanation: do (y = m x+b) formula.

cosine

step-by-step explanation:

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi