GIVEN: BA || CF, BC || ED. PROVE: angle 1 is congruent to angle 2

#11 please
20 points!!

∠1 ≅ ∠2 ⇒ proved down

Step-by-step explanation:

#11

In the given figure

∵ BA // CF

∵ BC is a transversal

∵ ∠1 and ∠BCF are interior alternate angles

∵ The interior alternate angles are equal in measures

∴ m∠1 = m∠BCF

∴ ∠1 ≅ ∠BCF ⇒ (1)

∵ BC // ED

∵ CF is a transversal

∵ ∠BCF and ∠2 are corresponding angles

∵ The corresponding angles are equal in measures

∴ m∠BCF = m∠2

∴ ∠BCF ≅ ∠2 ⇒ (2)

→ From (1) and (2)

∵ ∠1 and ∠2 are congruent to ∠BCF

∴ ∠1 and ∠2 are congruent

∴ ∠1 ≅ ∠2 ⇒ proved

answer: 5

step-by-step explanation:

answer: (yeees, you need a poet.)

//blooming serenity//

beautiful in the morning

mysterious at night

wonderous nature souring

with all it's mystical might

the flower that blooms

to the fox that looms

nocturnal creatures

with various features

a blooming flower soon in sight

as a new little hatchling fears to take flight  

afraid to leave it's calming nest,

but dear little bird, mother knows best

as sure as there are stars in the sky,

life is not about who, where what, when or why-

it's the journey that follows

adventures we swallow

of   nature's deep wonders,

natural disasters and storm's thunders.

blooming serenity

life and nature, truly is heavenly.

-kerstien lehman

step-by-step explanation: