Question

How do you draw an angle of 280 degrees in standard position?

Answer 1

Hint: Here we need to draw an angle of 280 degrees which should be in standard position. Here the given angle is greater than 180 degrees, so it is a reflexive angle. So we will draw the reflexive angle with the help of the protractor. We will follow the
step-by-step solution i.e. we will first draw the axes and then we will use the protractor to further draw the required angle.

Complete step by step solution:
Here we need to draw an angle of 280 degrees which should be in standard position. As the given angle is greater than 180 degrees, so it is a reflexive angle.
We can write $${280}^{\circ }$$ as ${180}^{\circ }+{100}^{\circ }$.
We will first draw the line of any length with endpoints as $O$ and $A$.

Now, we will place the center of the protractor above the point $O$ and we will mark the point where ${180}^{\circ }$ completes as point $B$.

Now, we will draw the rest of the angle i.e. ${100}^{\circ }$ considering the ${180}^{\circ }$ line as the reference line, and then we will add ${180}^{\circ }$ to it.

Hence, this is the required construction of the angle 280 degrees which are in standard position.

Note:
Here we have constructed the angle 280 degrees in standard position. For that, we need to know about different types of angles. We need to keep in mind that the angle that is greater than 180 degrees but less than 360 degrees is known as a reflexive angle. But if the angle is less than 180 degrees and more than 90 degrees is known as the obtuse angle.