Answer:
∠FQD is 146°
Step-by-step explanation:
Because ∠P is on the same line as angle ∠Q, they are both corresponding angles meaning that they are equal so:
2x = 5x - 51
Add 51 to both sides of the equation:
2x + 51 = 5x - 51 + 51
2x + 51 = 5x
Subtract 2x from both sides:
2x - 2x + 51 = 5x - 2x
51 = 3x
Divide both sides by 3:
[tex]\frac{3x}{3} = \frac{51}{3}[/tex]
x = 17
Now we can calculate ∠FQE by substituting the known x into the equation:
5x-51
5(17) - 51 = 34
Now subtract this from 180 as all angles must add up to 180 on a straight line:
180 - 34 = 146
That means ∠FQD is 146°
Hope this helps!
