Question

Question 78

Draw an angle of ${65}^{\circ }$ and draw an angle equal to this angle using ruler and compass.

Answer 1

Given, $\angle B={65}^{\circ }$

Steps of construction:

Step I: Draw a line $l$ and choose a point P on it.

Step II: Place the compass at B and draw an arc to cut the rays of $\angle B$ at A and C.

Step III: Use the same compass setting to draw an arc with P as centre, cutting $l$ at Q.

Step IV: Set your compass to the length AC.

.Step V: Place the compass pointer at Q and draw the arc to cut the previous arc in R.

Step VI: Join PR. This gives us $\angle P$. It has the same measure as $\angle B$

The measure of $\angle QPR$ has same measure as $\angle ABC$.