Question

Find angle angle ABD
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Answer 1

Answer:

Step-by-step explanation:

∠O = 65° (Vertically opposite angles)

∠DBA + ∠O + 35° = 180°(Angle sum property)

∠DBA + 65° +  35° = 180°

∠DBA + 100° = 180°

∠DBA = 180° - 100°

∠DBA = 80°

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Answer 2

Answer:

Given:

∠OAB = 35°

∠OAD = 40°

∠COD = 65°

To find: ∠ABD

Solution:

Lines AC and BD intersect at O.

→ ∠COD = ∠AOB = 65° (Vertically Opposite Angles)

In ∆AOB,

→ ∠AOB + ∠OAB + ∠OBA = 180° (Angle Sum Property)

→ 65° + 35° + ∠OBA = 180°

→ 100° + ∠OBA = 180°

→ ∠OBA = 180° - 100°

→ ∠OBA = 80°

Now, ∠OBA = ∠ABD = 80°