Help me find the Measure of FQD

∠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:

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!

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step-by-step explanation: