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In the Given Figure, If Ab || Hf and De || Fg, Then the Measure of ∠Fde is - Mathematics

MCQ

In the given figure, if AB || HF and DE || FG, then the measure of ∠FDE is

Options

  • 108°

  • 80°

  • 100°

  • 90°

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Solution

The given figure is as follows:

It is given that . AB || HF

Thus, x and ∠HFC form a linear pair, therefore,

∠HFC + x = 180°

28° + = 180°

      x = 180° - 28°

       x = 152°       (1)

Also ED || GF

Thus, x and ∠FDB are corresponding interior opposite angles, therefore,

   ∠FDB = x

y + 72° = x

          y = x - 72°

From (i):

 y = 152° - 72°

y = 80°

Thus, ∠FDE = 80°

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Q 19 | Page 55
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