Question

In the given figure, CD || AB. Find y.
(a) 790
(b) 72°
(c) 74°
(d) 77°​

Answer 1

Answer:

the value of x=72 degrees

Step-by-step explanation:

in ΔABC,∠A+∠B+∠C=180°[angle sum property]

so,3x+4x+3x=180°

              10x=180

                  x=180/10

                  x=18° [ therefore the value of x =18°]

given, AB║CD,then ∠BAC=∠ACD[alternate interior angles]

                                      3x=3x

                  we know that BCE is a linear pair so,

∠ACB+ACD+∠DCE=180°

3x+3x+y=180°[we know the value of x=18°,so substitue it in to the equation]

3*18+3*18+y=180

54+54+y=180

108+y=180

        y=180-108

         y=72°

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