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ozzi
3 years ago
14

Two Parallel lines are intersected by a transversal /1 and /2 are alternate exterior angles. The measure of /1 is (5x - 16) the

measure of /2 is (4x-2) what is the measure of each angle?
A.m/1=m/2=46
B.m/1=94 and m/2=86
C.m/1=m/2=54
D.m/1=m/2=70
Mathematics
1 answer:
Alecsey [184]3 years ago
6 0

Answer:

C. m/1=m/2=54

Step-by-step explanation:

these two angles are equal hence:

5x-16=4x-2=-16+2 =-14

4x-5x=-x

-x=-14=x=14

then you substitute the value of 'x' with 14

therefore:(5×14-16)=54

(4×14-2)=54

m/1=m/2=54

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Line up respective variables in column.

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Step 2:

We need to multiply first equation with -2 so that the coefficient of b becomes equal and opposite of -8.

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Step 3:

Add equation (2) and (3)

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