Question

Fill in the blanks after studying the given figure :
(1) m∠AOC = ..........
(2) m∠COB = ..........
(3) m∠BOD = ..........
(4) Measure of the complementary angle of m∠AOD is = ..........
(5) Measure of the supplementary angle of complementary angle of m∠COB =..........

Answer 1

this is the answer for your question but it is half

Answer 2

Answer:

1 ) <AOC = 110°

2 ) <COB = 70°

3 ) m<BOD = 110°

4 ) Measure of complementary

angle of m<AOD = 20°

5 ) Measure of supplementary

angle of complementary angle

of m<COB = 160°

Step-by-step explanation:

1 ) <AOC + <AOD = 180°

[ Linear pair ]

=> <AOC + 70° = 180°

=> <AOC = 180° - 70° = 110°

2 ) <COB = <AOD

[ Vertically opposite angles ]

= 70°

3 ) <BOD = <COA

[ Vertically opposite angles ]

= 110°

4 ) Measure of the

complementary angle of

m<AOD = 90° - 70° = 20°

5 ) Measure of the

supplementary angle of

complementary angle of m<COB

= 180° - ( 90° - 70° )

= 180° - 20°

= 160°

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