Question

if an // cd and angle 1:angle 2 is 3:2 find angle 6
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Answer 1

let angle1be 3x and angle2 be 2x

sum of both side =180°

3x+2x=180°

5x=180°

x=36°

angle2=2x=2×36=72°

angle2 =angle6 (corresponding angle)

angle6 =72°

Answer 2

Answer:-

angle 6 =72˚

Step by step explanation :-

Assume ; angle 1 = 3x.

angle 2 = 2x.

Adding on both sides.

3x + 2x = 180˚

5x = 180˚

x =36˚.

angle 2 = angle 6.

{ Corresponding angles }.

angle 2 ; 2x = 2*36˚

=72˚

therefore, angle 6= 72˚.

Hope it helps u....

Thank you!!!....