Pls (20 pts)

in the figure, lines a, b, and c are parallel and m∠4=48° .

m∠1 =

m∠2 =

m∠3 =

m∠5 =

42° 48° 132° 312°

m∠1=48

m∠2=132

m∠3=132

m∠5=48

Step-by-step explanation:

Hello

1 step

define

When two or more lines are crossed by another line, the angles in matching corners are called Corresponding Angles,according to this concept and ti the graph we can deduce

m∠4=m∠5

also

Two Angles are Supplementary when they add up to 180 degrees,in the graph

m∠3+m∠4=180 (3 y 4 are supplementary angles)

m∠1+m∠2=180 (1 y 2 are supplementary angles)

there is a supplementary angle m∠x of 3, such that

m∠x+m∠3=180 (x y 3 are supplementary angles)

again on the graph

m∠x=m∠1

step 2

m∠4=m∠5

m∠3+m∠4=180

m∠1+m∠2=180

m∠x+m∠3=180

m∠x=m∠1

if

m∠4=48

m∠5=48

m∠3=180-m∠4

m∠3=180-48

m∠3=132

m∠x+m∠3=180

m∠x=180-m∠3

m∠x=180-132

m∠x=48

m∠x=m∠1

m∠1=48

m∠2=180-m∠1

m∠2=180-48

m∠2=132

a

step-by-step explanation:

sss (side, side, side)

sas (side, angle, side)

asa (angle, side, angle)

aas (angle, angle, side)

hl (hypotenuse, leg)