Question

in the adjacent figure a b parallel to CD T is a transversal intercepting E and F respectively if angle two ratio angle 1 is equals to 5 :4 find the measure of each marked angles ​

Answer 1

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Answer 2

Given : ∠2 : ∠1 = 5:4

To find : all angles

Explanation:

let the angle be x

thus

5x + 4x = 180 (linear pair )

9x = 180

x = 20°

now ,

5x = 5×20 =100°

4x = 4×20 = 9=80°

from the figure ,

$\angle 1 = \angle 3 = \angle 5 = \angle 7 = 80^\circ$

(alternate interior angles )

$\angle 2 = \angle 4 = \angle 6 = \angle 8 = 100^\circ$

(alternate interior angles )

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