Question

3. Write the measurement of missing angle ​

Answer 1

Answer:

angle COD= 135°

angle AOD = 45°

Step-by-step explanation:

it's my pleasure to help you.

please mark me as a brainliest.

Answer 2

Answer :

The measure of missing angles are :-

• ∠DOC = 135°
• ∠DOA = 45°

Step-by-step explanation :

To Find,

• The measure of the missing angles

Solution,

Given that,

• ∠ AOB = 135°
• ∠ COB = 45°

Method 1

∠ AOB = ∠ DOC = 135° ...... opposite angles

∠ COB = ∠ DOA = 45° ....... opposite angles

Verification :-

⟹ ∠ AOB + ∠ COB + ∠DOC + ∠ DOA = 360°

⟹ 135° + 45° + 135° + 45° = 360°

⟹ 180° + 180° = 360°

⟹ 360° = 360°

L.H.S = R.H.S

Hence, Verified !

Method 2

⟹ ∠ COB + ∠DOC = 180°

⟹ 45° + ∠ DOC = 180°

⟹ ∠ DOC = 180° - 45°

⟹ ∠ DOC = 135°

∠ DOC = 135°

⟹ ∠AOB + ∠ DOA = 180°

⟹ 135° + ∠ DOA = 180°

⟹ ∠ DOA = 180° - 135°

⟹ ∠ DOA = 45°

∠ DOA = 45°

Hence, the measure of missing angles are ∠DOC = 135° and ∠DOA = 45°

Verification :-

⟹ ∠ AOB + ∠ COB + ∠DOC + ∠ DOA = 360°

⟹ 135° + 45° + 135° + 45° = 360°

⟹ 180° + 180° = 360°

⟹ 360° = 360°

L.H.S = R.H.S

Hence, Verified !