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In the Given Figure the Measure of ∠D and ∠F Are Respectively (A) 50°, 40° (B) 20°, 30° (C) 40°, 50° (D) 30°, 20° - Mathematics

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Question

In the given figure the measure of ∠D and ∠F are respectively

Options

  • 50°, 40°

  • 20°, 30°

  •  40°, 50°

  • 30°, 20°

MCQ

Solution

ΔABC and ΔDEF,

\[\frac{AB}{AC} = \frac{EF}{ED}\]
\[\angle A = \angle E = 130^o\]

ΔABC  ∼

 ΔEFD   (SAS Similarity)

\[\therefore \angle F = \angle B = 30^o\]
\[\angle D = \angle C = 20^o\]

 

Hence the correct answer is `b`

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Chapter 7: Triangles - Exercise 7.10 [Page 133]

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RD Sharma Mathematics [English] Class 10
Chapter 7 Triangles
Exercise 7.10 | Q 32 | Page 133

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