Question

find x value in the following figure​

Answer 1

Answer:

⇒In ΔABO, side AB and AO are equal.

Hence, ∠ABO = ∠BOA (∵equal sides form equal angles)

3x + 10° = ∠BOA

⇒∠BOA = ∠COD (∵ Alternate Interior Angles)

3x + 10° = ∠COD

⇒In ΔCOD, side CO and CD are equal.

Hence, ∠COD = ∠CDO (∵equal sides form equal angles)

3x + 10° = ∠CDO

⇒∠COD + ∠CDO + ∠OCD = 180° (∵ Angle Sum Property)

3x+10° + 3x+10° + 2x = 180°

8x + 20° = 180°

8x = 180° - 20°

8x = 160°

x = 160°/8

x = 20°

⇒ Hence, the measure of the angles are:

3x + 10° = 3*20° + 10° = 60°+10° = 70°

2x = 2*20°= 60°

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Answer 2

Step-by-step explanation:

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