Question

Using your protractor draw an angle of measure 36 degree with angle As given draw another angle of measure 72 degree verify the measurement ​

Answer 1

The construction of angles 36° and 72° are as shown below.

Steps of construction:

Draw a line OA with a known scale of measurement.

From point O with an angle of  36° draw a ray using a protractor.

Mark the other end of the ray as B.

Therefore, we get, ∠ AOB = 36°.

Again from point O with an angle of  72° draw a ray using a protractor.

Mark the other end of the ray as C.

Therefore, we get, ∠ AOC = 72°.

We get, ∠ AOC = 2 × ∠ AOB   (as 72° = 2 × 36°)

Hence the construction and verification of measurement.

Answer 2

Answer:

Explanation:

1. Construct a ray OA.

In order to get angle 54ᵒ, we must bisect the angle of 108ᵒ.

Taking O as centre and convenient radius, construct an arc which cuts the sides OA and OB at the points P and Q.

Taking P as centre and radius which is more than half of PQ construct an arc.

Taking Q as centre and same radius construct another arc which intersects the previous arc and name it as point R.

Now join the points O and R and extend it to the point X.

Here, ∠AOX is the required angle of 54ᵒ.