What is an angle that is supplementary KFA?

Mathematics

1 answer:

cestrela7 [59]2 years ago

6 0

Given:

A diagram.

To find:

An angle that is supplementary to ∠KFA.

Solution:

Supplementary angle: Two angles are called supplementary angles if they are lie on the same side of a straight line and their sum is 180 degrees.

From the given diagram, it is clear that ∠KFA lies on the intersection of lines HL and IK.

∠KFA and ∠DFA lie on the same side of a straight line IK.

∠KFA and ∠KFL lie on the same side of a straight line HL.

So, ∠DFA and ∠KFL are the angles supplementary to ∠KFA.

We need only one supplementary angle. So, we write either ∠DFA or ∠KFL.

Therefore, an angle that is supplementary to ∠KFA is ∠KFL.

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