Vertically opposite angles are always
a. supplementary
b. complementary
c. adjacent
d. Equal

Solution:

We have to determine the nature of vertically opposite angles out of the given options.

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.

From the figure,

The vertically opposite angles are ∠1, ∠3, ∠4 and ∠2.

By the theorem,

∠1 = ∠3

∠2 = ∠4

Therefore, the vertically opposite angles are always equal.

✦ Try This: In the given figure, write, if any, each pair of vertically opposite angles.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 5

NCERT Exemplar Class 7 Maths Chapter 5 Problem 32

Vertically opposite angles are always: a. supplementary, b. complementary, c. adjacent, d. equal

Summary:

Vertically opposite angles are always equal

☛ Related Questions:

• In Fig. 5.27, a = 40°. The value of b is: a. 20°, b. 24°, c. 36°, d. 120°
• If an angle is 60° less than two times of its supplement, then the greater angle is: a. 100°, b. 80° . . . .
• In Fig. 5.28, PQ || RS. If ∠1=(2a+b)° and ∠6=(3a-b)°, then the measure of ∠2 in terms of b is: a. (2 . . . .