Question

In the given figure ,AB||CD.Find the value of x.​

Answer 1

Answer:

60degree

Step-by-step explanation:

they are corresponding angles

Answer 2

WE WILL EXTEND LINE SEGMENT CD TO ED.

<FAB = <FED (BY THE PROPERTY OF PARALLEL LINES)

<FED =68⁰

<FCE + <FCD =180⁰ ( BY LINEAR PAIR)

<FCE + 114⁰ =180⁰

<FCE = 180⁰-114⁰

<FCE = 66⁰

IN ∆FCE,

<F + <E + <C =180⁰ ( BY ANGLE SUM PROPERTY OF TRIANGLE)

<X⁰ + 68⁰ + 66⁰ =180⁰

<X⁰ = 180⁰-(66⁰+68⁰)

<X⁰ = 180⁰- 134⁰

<X⁰ = 46⁰

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