Question

Draw an obtuse angle. Bisect it. Measure each of the angles so obtained.

Answer 1

We are asked to construct an angle and bisect it and measure each angle

We will follow a certain algorithm to construct

Steps of construction

STEP1: Draw an obtuse angle of any measure. For example take 100 degrees. And label it as ∠BAC.

STEP2: With centre as A, and radius of any measure, draw an arc intersecting the ray AB and AC, at L and M respectively.

STEP3: With centre M and radius greater than half of LM, draw an arc inside the cone.

STEP4: With centre L and taking the same radius as in STEP 3, draw another arc intersecting the previous one at N.

STEP5: Draw the ray AN. This is the angle bisector of BAC.

After measurement, we can find out that, $\angle \mathrm{BAN}=\angle \mathrm{NAC}=50°$.