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Answer:
238°
Step-by-step explanation:
In a cyclic quadrilateral, the pair of opposite angles add up to 180 degrees.
So, the angle "21x - 2" and the angle "38x + 5" add up to 180.
So, we can write an equation and solve for x first:
x = 3
Now, Arc FGH is DOUBLE of Angle A. Angle A is "38x + 5". We know x, so angle A is:
Angle A = 38x + 5 = 38(3) + 5 = 119
Thus, Arc FGH = 2 * 119 = 238°
The figure is given in the below diagram.
The steps of constructing a square inside a circle are as follows:
Start from the middle O of the provided circle.
Finding the center of a circle's approach can be used to create the center of the circle's center point is not known.
1. Draw a circle and label point A. This will turn into one of the square's vertices.
2. Create point C by drawing a diameter line from point A through the center and back out to the outside of the circle.
3. Set the width of the compass to a little bit more than the distance to O.
4. Sketch an arc above and under O.
5. Repeat by moving the compass to C.
6. To create the new points B and D, draw a line across the intersection of the arc pairs that is long enough to touch the circle at both the top and bottom.
This diameter is perpendicular to the first AC.
7. Draw a line connecting each pair of points A, B, C, and D.
Done. The circle is circled by the square ABCD.
Learn more about the construction here-
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