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In the Below , Pq || Ab and Pr || Bc. If ∠ Qpr = 102°, Determine ∠ Abc. Give Reasons. - Mathematics

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Sum

 In the below, PQ || AB and PR || BC. If `∠`QPR = 102°, determine `∠`ABC. Give reasons.

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Solution

AB is produce to meet PR at K

Since PQ || AB 

`∠`QPR = `∠`BGR = 102°  ...[corresponding angles]

Since PR || BC

∴`∠`RGB + `∠`CBG = 180°        ...[Corresponding angles are supplementary]

⇒ `∠`CBG =180° - 102° = 78°

∴ `∠`CBG = `∠` ABC

`∠` ABC = 78°.

Concept: Pairs of Angles
  Is there an error in this question or solution?

APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Exercise 10.4 | Q 22 | Page 49

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