Question

give correct answer plz with step by step explanation ​

Answer 1

Step-by-step explanation:

< ABO = 180° - [ < 35° + < 65° ] . ( <AOB = 65° = vertically opposite angle. )( <ABO = by angle sum property.)

Therefore, < ABO = 80°

Now,

<ACD = 35° = <BAC (alternate interior angles)

Therefore, <ODC = <ABD = 80° (alternate interior angles)

Now,

<ACB = <CAD = 40° (alternate interior angles)

Now,

<BOC = 180° - 65° = 115° (LINEAR PAIR)

Therefore,

<CBD = by angle sum property.

180° - ( 65° + 40° )

180° - 105°

75°

Therefore, <CBD = 75°