Math, asked by luckygaharwar, 8 months ago

in the given figure AB||CD find the value of x and the anglemarked as 1,2,3 and4

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Answered by Vinthi
0

Answer:

x=17

angle 3 = 124

angle 4 =56

Step-by-step explanation:

angle 1 =angle4 [ alternate interior angles are equal]therefore

3x+5=angle 4

also angle3 is equal to angle 2 (alternate interior angles are equal)

7x+5=angle 3

also we know tht the pair of interior angles on the same side of the transversal are supplementary

therefore

3x+5+7x+5=180

10x+10=180

10x=170

x=17

from eq 1 and 2substituting the value of x as 17 we get

3x+5=angle4

3(17)+5 =angle 4

51+5

angle 4 =56

eq 2

7x+5= angle 3

7(17)+5=angle 3

119+5

124=angle 3

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