Back to: BASIC TECHNOLOGY JSS2

**Welcome to Class !!**

*We are eager to have you join us !!*

*In today’s Basic Technology class, We will continue with our class on Angles. We hope you enjoy the class!*

**Constructing a 60º Angle**

We know that the angles in an equilateral triangle are all 60º in size. This suggests that to construct a 60º angle we need to construct an equilateral triangle as described below.

**Step 1:** Draw the arm *PQ*.

**Step 2: **Place the point of the compass at *P* and draw an arc that passes through *Q*.

**Step 3:** Place the point of the compass at *Q* and draw an arc that passes through *P*. Let this arc cut the arc drawn in Step 2 at *R*

**Constructing a 30º Angle**

We know that:

So, to construct an angle of 30º,

first, construct a 60º angle and then bisect it. Often, we apply the following steps.

**Step 1:** Draw the arm *PQ*.

**Step 2:** Place the point of the compass at *P* and draw an arc that passes through *Q*.

**Step 3:** Place the point of the compass at *Q* and draw an arc that cuts the arc drawn in Step 2 at *R*.

**Step 4**: With the point of the compass still at *Q*, draw an arc near *T* as shown.

**Step 5:** With the point of the compass at *R*, draw an arc to cut the arc drawn in Step 4 at *T*.

**Step 6:** Join *T* to *P*. The angle *QPT* is 30º.

**Constructing a 90º Angle**

We can construct a 90º angle either by bisecting a straight angle or using the following steps.

**Step 1:** Draw the arm *PA*.

**Step 2:** Place the point of the compass at *P* and draw an arc that cuts the arm at *Q*.

**Step 3:** Place the point of the compass at *Q* and draw an arc of radius *PQ* that cuts the arc drawn in Step 2 at *R*.

**Step 4:** With the point of the compass at *R*, draw an arc of radius *PQ* to cut the arc drawn in Step 2 at *S*.

**Step 5:** With the point of the compass still at *R*, draw another arc of radius *PQ* near *T* as shown.

**Step 6:** With the point of the compass at *S*, draw an arc of radius *PQ* to cut the arc drawn in step 5 at *T*.

**Step 7:** Join *T* to *P*. The angle *APT* is 90º.

*We have come to the end of this class. We do hope you enjoyed the class?*

*Should you have any further question, feel free to ask in the comment section below and trust us to respond as soon as possible.*

*In our next class, we will be talking about Circle. We are very much eager to meet you there.*

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