Question

Please help me out

If ∠∠ABC and ∠∠DBF are vertical angles and m∠∠ABC= 4x +1 and the m∠∠DBF = 3x + 29, then what is x, and what is the measure of the angle?

Answer 1

To find the value of x and the measure of the angle, set the two vertical angles equal to each other. Solve for x and substitute the value of x to find the measure of the angle.

Step-by-step explanation:

To find the value of x and the measure of the angle, we can set the two vertical angles equal to each other:

4x + 1 = 3x + 29

Subtracting 3x from both sides gives:

x + 1 = 29

Subtracting 1 from both sides gives:

x = 28

Therefore, x = 28. To find the measure of the angle, we can substitute x into either of the given angles:

m∠ABC = 4x + 1 = 4(28) + 1 = 113

The measure of the angle is 113 degrees.

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Answer 2

68

Step-by-step explanation:

ABC AND DBF.

ABC = 4x +1= your answer