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What value of x would make lines land m parallel? ​

Sagot :

MrRoyal

Answer:

[tex]x = 75[/tex]

Step-by-step explanation:

Given

See attachment

Required

The value of x that makes l and m parallel

Let the angles be ABC (See attachment 2)

[tex]\angle CAB[/tex] is corresponding to 50 degrees. So:

[tex]\angle CAB=50[/tex]

[tex]\angle ABC[/tex] is corresponding to 55 degrees. So:

[tex]\angle ABC = 55[/tex]

This means that:

[tex]\angle ABC + \angle CAB + x = 180[/tex]

[tex]50 +55 + x = 180[/tex]

Solve for x

[tex]x = 180 - 50 - 55[/tex]

[tex]x = 75[/tex]

View image MrRoyal
View image MrRoyal
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