Question

10. Prove that if the two arms of an angle are perpendicular to the two arms of another any
then the angles are either equal or supplementary.
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Answer 1

Answer:

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Here, /_B is 90° and /_D is 90°

As two arms are perpendicular so AB || CD. Similarly AD || BC

Now, in parallel lines the sum of interior adjacent angles is 180°. Here, all lines are transversal.

Hence proved that sum of adjacent angles is 180°

/_B + /_C = 180°

90° + /_C = 180°

/_C = 90°

Similarly, /_A + /_D = 180°

/_D = 90°

Step-by-step explanation:

Answer 2

Step-by-step explanation:

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