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Line AB and Line CD are cut by transversal Rs. If the measure of angle REA is 5x+7 and the
measure of angle REB is 43°. Find the value of x.​

Line AB and Line CD are cut by transversal Rs If the measure of angle REA is 5x7 and themeasure of angle REB is 43 Find the value of x class=

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DaSunfish

Answer:

x=26º

Step-by-step explanation:

Since angle REA and angle REB add up to a sum of 180º, we can figure out the value of REA by subtracting 43 from 180.

This equals 137º.

Then we plug 137 into an equation set to equal 5x+7.

137=5x+7.

Subtract 7 from both sides.

130=5x

Then divide both sides by 5.

26=x

Therefore, x=26º

Sarah06109

Answer:

x=26

Step-by-step explanation:

∠REA and ∠REB are on the straight line AB. Since they are on a straight line together, they are supplementary and must add to 180 degrees.

∠REA+∠REB=180

We know that ∠REA is 5x+7 and ∠REB is 43 degrees.

∠REA=5x+7

∠REB=43

5x+7+43=180

Combine like terms by adding 7 and 43.

5x+(7+43)=180

5x+50=180

Now we need to solve for x. Perform the inverse operation to both sides.

50 is being added to 5x. The inverse of addition is subtraction; subtract 50 from both sides.

5x+50-50=180-50

5x=180-50

5x=130

x is being multiplied by 5. The inverse of multiplication is division ; divide both sides by 5.

5x/5=130/5

x=130/5

x=26

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