Iron rods a, b, c, d, e and f are making a design in a bridge as shown in Fig. 5.47, in which a ||b, c ||d, e || f. Find the marked angle between c and f.
Solution:
Given, iron rods a, b, c, d, e and f are making a design in the bridge as shown in the figure.
Also, a ||b, c ||d, e || f
We have to find the marked angle between c and f.
Let the angle between c and f be ∠4.
Considering l and m are parallel with PQ and RS as transversal,
If two parallel lines are intersected by a transversal, each pair of alternate interior angles is equal.
So, ∠PQR = ∠SPQ
i.e., ∠PQR = ∠4
From the figure,
∠PQR = 75°
So, ∠SPQ = 75°
Therefore, the angle between c and f is 75°.
✦ Try This: Find the complement of the angle 85°
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5
NCERT Exemplar Class 7 Maths Chapter 5 Problem 90 (iv)
Iron rods a, b, c, d, e and f are making a design in a bridge as shown in Fig. 5.47, in which a ||b, c ||d, e || f. Find the marked angle between c and f.
Summary:
Iron rods a, b, c, d, e and f are making a design in a bridge as shown in Fig. 5.47, in which a ||b, c ||d, e || f. The marked angle between c and f is 75°.
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