Question

Draw a pair of vertically opposite angles. Bisect each of the two angles. Verify that the bisecting rays are in the same line.

Answer 1

the bisecting rays are in the same line.

Step-by-step explanation:

Step 1 : Draw a line AB

Step 2 Draw another line CD intersecting AB at O

∠AOC & ∠BOD are vertically opposite angles

Bisecting ∠AOC

Step 3: using compass some width draw an arc intersecting OA & OC  at

M & N

Step 4 : Taking compass width slightly less than MN , Draw arc taking M as center

Step 5: Keeping compass width same taking N as center draw arc intersecting arc drawn in step 4 at P

Step 6 : join OP and draw a Ray

Bisecting ∠BOD

Step 7: using compass some width draw an arc intersecting OB & OD  at

X & Y

Step 8 : Taking compass width slightly less than XY , Draw arc taking X as center

Step 9: Keeping compass width same taking Y as center draw arc intersecting arc drawn in step 8 at Q

Step 10 : join OQ and draw a Ray

Ray drawn in step 6 & step 10 are in the same line

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Answer 2

Answer:

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