Question

In the adjoining figure, AE || BC. With the help of the given information find the value of x and y.

Hint: ZDAE = LABC ⇒x+19=y-11 ⇒x-y=-30 ...(1)

2x+y+y-11 +x+ 11 = 180⇒ 3x + 2y = 180...(ii).

Solve (i) and (ii)].​

Answer 1

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Step-by-step explanation:

2+1= 3

Answer 2

x = 24, y = 54

Step-by-step explanation:

As AE and BC is parallel, angle DAE and ABC is equal.

Hence: x + 19 = y - 11

x + 19 + 11 = y

y = x + 30

A Triangle's Interior Angle's sum up to 180°

Hence: 2x + y + y - 11 + x + 11 = 180°

2x + x + 30 + x + 30 - 11 + x + 11 = 180

5x + 60 = 180

5x = 120

x = 24

Then find y: x + 30 = 24 + 30 = 54