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Answer :

\(\angle \)e + 125° = 180° (Linear pair)

\(\therefore \) \(\angle \)e = 180° – 125° = 55°

\(\angle \)e = \(\angle \)f (Vertically opposite angles)

\(\therefore \) \(\angle \)f= 55°

\(\angle \)a = \(\angle \)f= 55° (Alternate interior angles)

\(\angle \)c = \(\angle \)a = 55° (Vertically opposite angles)

\(\angle \)d = 125° (Corresponding angles)

\(\angle \)b = \(\angle \)d = 125° (Vertically opposite angles)

Thus, \(\angle \)a = 55°, \(\angle \)b = 125°, \(\angle \)c = 55°, \(\angle \)d = 125°, \(\angle \)e = 55°, \(\angle \)f= 55°.

- Q.1 State the property that is used in each of the following statements? (i) If a \(\parallel \) b, then \(\angle \)1 = \(\angle \)5 (ii) If \(\angle \)4 = \(\angle \)6, then a \(\parallel \) b (iii) If \(\angle \)4 + \(\angle \)5 = 180°, then a \(\parallel \) b
- Q.2 In the given figure, identify (i) the pairs of corresponding angles. (ii) the pairs of alternate interior angles. (iii) the pairs of interior angles on the same side of the transversal.
- Q.4 Find the value of x in each of the following figures if l \(\parallel \)m
- Q.5 the given figure, the arms of two angles are parallel. If \(\angle \)ABC = 70°, then find (i) \(\angle \)DGC (ii) \(\angle \)DEF
- Q.6 In the given figure below, decide whether l is parallel to m.

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- NCERT solutions for class 7 maths chapter 2 Fractions and Decimals
- NCERT solutions for class 7 maths chapter 3 Data Handling
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- NCERT solutions for class 7 maths chapter 14 Symmetry
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