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.

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

Step-by-step explanation:

Let the missing side be x

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x

Using Pythagoras theorem we have

a² = b² + c²

where

a is the hypotenuse

From the question

a = 7.4

So we have

We have the final answer as

Hope this helps you