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