Question

8. If two interior angles on the same side of a transversal intersecting two
parallel lines are in ratio 1:4 then, what is the measure of the larger angle?
*

Answer 1

Answer:

The measure of the larger angle is 144 degrees

Step-by-step explanation:

Let the angles be x and 4x respectively,

We know that angles of the same of a transversal intersecting two parallel lines add up to 180 degrees because they are Co-Interior angles and are Supplementary,

ATQ,

x+4x=180

=> 5x=180

=> x=36

So, the two angles are 36 and (4)(36)=144 respectively

Hope it helps :)

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