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 b and c
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 b and c.
Let the angle between b and c be ∠1.
Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.
Vertically opposite angles are equal to each other.
From the figure,
The vertically opposite angles are
∠SOP and ∠QOR
i.e., ∠SOP = ∠1
From the figure,
∠QOR = 30°
Vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.
By the above theorem,
So, ∠1 = 30°
Therefore, the angle between b and c is 30°
✦ Try This: If the supplement of an angle is 62°, then find its complement.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5
NCERT Exemplar Class 7 Maths Chapter 5 Problem 90 (i)
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 b and c
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 b and c is 30°.
☛ Related Questions:
- 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, . . . .
- 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, . . . .
- 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, . . . .
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