use a
Protractor to draw an angle of
80°. Also draw the angle leise for
of the langle using compasses and circle
Answers
Step-by-step explanation:
1. Draw a ray OA
2. With the help of a protractor , construction ∠ BOA = 80 °
3. Taking O as center and any suitable radius , draw an arc to intersect rays OA and OB at points P and Q respectively .
4. Take radius more than half the radius OP. With this radius make an arc from point P and Q which will intersect at X . By joining O and X we get bisector of ∠AOB .
Let ray OC be the bisector of ∠ BOA , then ∠ COA = 1/2 ∠ BOA = 1/2 ×80 ∘ =40 ∘
5. With Q as center and radius equal to PQ , draw an arc to cut the extended arc PQ at R . Join OR and produce it to form ray OD , then ∠ DOA = 2∠ BOA = 2×80 ∘ =160 ∘ .
Bisect ∠ DOB as done in step 4. Let OE be the bisector of ∠ DOB is then
∠ EOA = ∠ EOB + ∠ BOA = 1
/2 ∠ DOB + ∠ BOA =
1
/2 (80) ∘+80 ∘ =40 ∘ +80 ∘ =120 ∘