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The angle measurements in the diagram are represented by the following expressions. A=6x+5 B=4x+45 solve for x and then find the measure of A

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To solve for x in the equation A = 6x + 5, we can first subtract 5 from both sides, giving us A - 5 = 6x. This simplifies to A = 6x + 5. Dividing both sides by 6 gives us x = (A-5)/6.

Similarly, we can solve for x in the equation B = 4x + 45. Subtracting 45 from both sides gives us B - 45 = 4x, and dividing by 4 gives us x = (B-45)/4.

To find the measure of A, we can substitute the value of x that we found into the equation for A.

A = 6x + 5

A = (6 * (B-45)/4) + 5

A = (3/2) * B - 45/2 + 5

A = (3/2) * B + 5/2

So the measure of A is (3/2) * B + 5/2.

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