Using a protractor, draw an angle of measure 72°. With this angle as given, draw angles of measure 36° and 54°.

Question

Using a protractor, draw an angle of measure 72&#xB0;. With this angle as given, draw angles of measure 36&#xB0; and 54&#xB0;.

Philoid · Accepted Answer

Using protractor we have to draw an angle of 72° and considering this angle given draw an angle of 36° and 54°

For this construction we will follow the following algorithm

Steps of Construction

STEP1: Draw angle ABC of measure 72°, using protractor.

STEP2: Bisect angle ABC. Let BD be the bisecting ray.

ABD = DBC = 36°

STEP3: Bisect ABD. Let BE be the bisecting ray.

So,Thus,

Thus, DBC = 36° and EBC = 54° are the required angles.