Question

if angle 4 equal angle 8 then l// m​

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rameesshanavasp4xb0r

rameesshanavasp4xb0r

01.03.2018

Math

Secondary School

+5 pts

Answered

If l parallel m and n is a transversal such that angle 8: angle 5 =13:5 find all the angles

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Chahat04

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let angle 8 and angle 5 be 13x° and 5x°.

angle 8 + angle 5 = 180 (Linear Pair of angles)

13x° + 5x° = 180°

18x = 180°

x = 180°/18

x = 10°

Hence, angle 8 = angle 6 = 13x° = 130°(Vertically opposite angles)

angle 5 = angle 7 = 5x° = 50° (vertically opposite angles)

let angle 4 be x°.

angle 4 + angle 5 = 180°

x° + 50° = 180°

x° = 180° - 50°

x = 130°

angle 4 = 130°

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