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If ∠BGC = 16x - 4 and ∠CGD = 2x + 13, find the value of x so that ∠BGD is a right angle.

User Cytinus
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1 Answer

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Answer: x = 81 / 18

Explanation:

To find the value of x such that ∠BGD is a right angle, we need to set up an equation using the given angle measurements.

In a right angle, the sum of the two adjacent angles is 90 degrees. Therefore, we can write the equation:

∠BGC + ∠CGD = 90

Substituting the given angle measurements:

(16x - 4) + (2x + 13) = 90

Now, let's solve this equation for x:

16x - 4 + 2x + 13 = 90

18x + 9 = 90

18x = 90 - 9

18x = 81

x = 81 / 18

User Steve Misuta
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