27.3k views
3 votes
PLS HELP (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°

PLS HELP (20 pts) In the figure, lines a, b, and c are parallel and m∠4=48° . m∠1 = m-example-1
User Eddo
by
7.2k points

2 Answers

6 votes
Given ∠4 = 48
∠5 = ∠4 = 48°
∠3 = 180 - ∠4 = 180 - 48 = 132°
∠2 = ∠3 = 132°
∠1 = 180 - ∠2 = 180 - 132 = 48°
User Lev Landau
by
8.8k points
6 votes

Answer:

m∠1=48

m∠2=132

m∠3=132

m∠5=48

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

User Kesavan R
by
7.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.