Vertically opposite angles are equal. State whether the statement is true or false

Solution:

Given, vertically opposite angles are equal.

We have to determine if the given statement is true or false.

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 given statement is true.

✦ Try This: In Fig., if lines PQ and RS intersect at point T, such that ∠PRT = 40°, ∠RPT = 95° and ∠TSQ = 75°, find ∠SQT.

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

NCERT Exemplar Class 7 Maths Chapter 5 Sample Problem 11

Vertically opposite angles are equal. State whether the statement is true or false

Summary:

The given statement,”Vertically opposite angles are equal” is true.

☛ Related Questions:

• In Fig. 5.3, four line segments PQ, QR, RS and ST are making the letter W, PQ||RS and QR||ST. If the . . . .
• In Fig. 5.4, are the angles 1 and 2 of the letter N forming a pair of adjacent angles? Give reasons
• In Fig. 5.5, the points A, O and B are collinear. Ray OC ⊥ ray OD. Check whether ∠AOD and ∠BOC are c . . . .