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

BGC+CGD = 90o.

(16x-4) + (2x+13) = 90
18x = 90 - 9 = 81
X = 4.5.

BGC = 16*4.5 - 4 = 68o
CGD = 2*4.5 + 13 = 22o

4.5

tbh idk but henry is right but hella confusing like if you agree and sorry if i wasted your time

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Well, well, well! We have some geometry to tackle. To find the value of x that makes angle BGD a right angle, we need to find the values of angle BGC and angle CGD first.

Now, if angle BGD is a right angle, then the sum of angle BGC and angle CGD should be equal to 90 degrees (because a right angle measures 90 degrees). So, we'll set up an equation:

16x - 4 + 2x + 13 = 90

Combining like terms, we get:

18x + 9 = 90

Subtracting 9 from both sides, we have:

18x = 81

And finally, dividing both sides by 18:

x = 4.5

So, my dear friend, the value of x that makes angle BGD a right angle is 4.5. Now go out there and enjoy some angle antics!

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

In a right angle, the sum of the measures of the two angles connected by the right angle is 90 degrees.

So, we have:

angle BGC + angle CGD = 90 degrees

Substituting the given angle measures, we have:

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

Now, let's solve for x.

Combine like terms:

18x + 9 = 90

Subtract 9 from both sides:

18x = 81

Divide both sides by 18:

x = 81 / 18

Simplify the fraction:

x = 4.5

Therefore, the value of x that makes angle BGD a right angle is x = 4.5.