Subjective Type

What does a $$72$$-degree angle look like?

Solution

Use a protractor, or draw a picture using known angles

Explanation:
Draw a graph. The Y-axis is at a $$90$$-degree angle to the x axis
$$graph{ [-1, 10, -1, 5]}$$
half of a 90-degree angle is a $$45$$-degree angle
$$graph{x [-1, 10, -1, 5]}$$
halfway between a $$90$$-degree angle and a $$45$$-degree angle is a $$67.5$$-degree angle $$graph{2x [-1, 10, -1, 5]}$$
72 degrees should be slightly above (steeper than) this angle
You can also use a protractor for more accurate measurements.

And, Here is the accurate graph for $$72^\circ$$ angle in graph.

$$graph{y= (tan (2pi/5))x [-14.13, 17.9, -6.65, 9.37]}$$

Just graph the equation $$\displaystyle{y}={\left( \tan{{\left(\frac{{{2}\pi}}{{5}}\right)}}\right)}{x}$$ to get the result. The angle made by the graph on the positive side of x-axis is $$72^\circ$$.

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