If measurement AFB = 8x-6 and measurement BFC = 14x+8,Find the value of x so that Angle AFC is a right angle
AFB + BFC = AFC = 90,
8x - 6 + 14x + 8 = 90,
X = ?.
To find the value of x that makes Angle AFC a right angle, we need to use the fact that the sum of the measures of the angles of a triangle is 180 degrees.
In this case, we have Angle AFB and Angle BFC, and we want to find the value of x that makes Angle AFC a right angle.
Given that Angle AFB = 8x - 6 and Angle BFC = 14x + 8, we can set up an equation:
Angle AFB + Angle BFC + Angle AFC = 180
(8x - 6) + (14x + 8) + (Angle AFC) = 180
Simplifying the equation, we get:
22x + 2 + (Angle AFC) = 180
Now, since we want Angle AFC to be a right angle (which measures 90 degrees), we substitute 90 in place of Angle AFC:
22x + 2 + 90 = 180
Simplifying further, we have:
22x + 92 = 180
Next, we isolate the variable x:
22x = 180 - 92
22x = 88
Finally, we solve for x by dividing both sides of the equation by 22:
x = 88 / 22
x = 4
Therefore, the value of x that makes Angle AFC a right angle is x = 4.