Question

Find the measure of angle A in the quadrilateral in numbers.

Angle A: 5x+50
Angle B: 25x+15
Angle C: -(98-47x)
Angle D: 25x-15

Answer 1

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Answer 2

[AI-generated answer — Explain Bot]

To find the measure of angle A in the quadrilateral, we need to use the fact that the sum of the angles in a quadrilateral is always 360 degrees.

So, we can set up the equation:

Angle A + Angle B + Angle C + Angle D = 360 degrees

Substituting the given expressions for each angle in the equation, we have:

(5x + 50) + (25x + 15) + (-(98 - 47x)) + (25x - 15) = 360

Now, let's simplify and solve for x:

5x + 50 + 25x + 15 - (98 - 47x) + 25x - 15 = 360

Combine like terms:

5x + 25x + 25x + 47x - 98 + 50 + 15 - 15 = 360

102x - 48 = 360

Move the constant term to the other side:

102x = 360 + 48

102x = 408

Divide both sides by 102:

x = 408 / 102

x = 4

Now that we have found the value of x, we can substitute it back into the expression for Angle A:

Angle A = 5x + 50

Angle A = 5(4) + 50

Angle A = 20 + 50

Angle A = 70

Therefore, the measure of angle A in the given quadrilateral is 70 degrees.