karanadhikari69
Answered

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Please find me the value of x​

Please Find Me The Value Of X class=

Sagot :

Answer:

x = 60°

Step-by-step explanation:

See picture below.  When two parallel lines are cut by a transversal there are some special relationships.

View image jesscmheasley

Answer:

x = 60°

Step-by-step explanation:

∠ ABO and ∠ CBO are a linear pair and sum to 180° , that is

∠ ABO + ∠ CBO = 180°

150° + ∠ CBO = 180° ( subtract 150° from both sides )

∠ CBO = 30°

∠ XYO and ∠ CBO are alternate angles and are congruent , so

∠ XYO = 30°

∠ XOY and ∠ COY are a linear pair and sum to 180° , then

∠ XOY + ∠ COY = 180°

∠ XOY + 90° = 180° ( subtract 90° from both sides )

∠ XOY = 90°

the sum of the 3 angles in Δ XOY = 180° , that is

x + 90° + 30° = 180°

x + 120° = 180° ( subtract 120° from both sides )

x = 60°

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