Question

angle ACP = 40° and angle BPD = 120° , FIND angle CBD​

Answer 1

∠CBD = 20°

Step-by-step explanation:

∠BPD = ∠ACP = 40° [angle in same segment]

Now, in △BPD, we have

∠PBD + ∠BPD + ∠BDP = 180°

⇒ ∠PBD + 120° + 40° = 180°

⇒ ∠PBD = 180° - 160° = 20°

or ∠CBD = 20°

Answer 2

Answer:

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Step-by-step explanation:

1. opposite angles are equal so angle APC is equal to 120

2. sum of all angles of triangle is 180

so 40 +120+angleCAP is equal to 180