The sum of two vertically opposite angles is 166°. Find each of the angles

Solution:

Given, the sum of two vertically opposite angles is 166°.

We have to find each of the angles.

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.

Let the angle be x.

By the definition,

x + x = 166°

2x = 166°

x = 166°/2

x = 83°

Therefore, the value of each angle is 83°.

✦ Try This: The sum of two vertically opposite angles is 106°. Find each of the angles.

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

NCERT Exemplar Class 7 Maths Chapter 5 Problem 77

The sum of two vertically opposite angles is 166°. Find each of the angles

Summary:

The sum of two vertically opposite angles is 166°. The measure of each of the angles is 83°.

☛ Related Questions:

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