Question

The relationship between PLS ANSWER ASAP MARKING BRAINSLEST

Answer 1

Since ∠A and ∠B forms a straight line, ∠A and ∠B are a linear pair.

Linear pair:

A linear pair is the sum of two angles that forms a straight line (180°).

⇒ ∠A + ∠B = 180°

Measure of ∠A:

Subtract the measure of ∠B from 180 to determine the measure of ∠A.

⇒ ∠A = 180 - ∠B

Measure of ∠B:

Subtract the measure of ∠A from 180 to determine the measure of ∠B.

⇒ ∠B = 180 - ∠A

*Let us take a few examples to understand the concept better.

Example (Given measure of ∠B):

Let the measure of ∠B (In the triangle shown) be 105°.

What is the measure of ∠A?

Solution:

Substitute the measure of ∠B in the equation ∠A = 180 - ∠B:

• ⇒ ∠A = 180 - ∠B
• ⇒ ∠A = 180 - 105

Simplify the equation:

• ⇒ ∠A = 180 - 105
• ⇒ ∠A = 75°

Therefore, the measure of ∠A is 75°.

Example (Given measure of ∠A):

Let the measure of ∠A (In the triangle shown) be 60°.

What is the measure of ∠B?

Solution:

Substitute the measure of ∠A in the equation ∠B = 180 - ∠A:

• ⇒ ∠B = 180 - ∠A
• ⇒ ∠B = 180 - 60

Simplify the equation:

• ⇒ ∠B = 180 - 60
• ⇒ ∠B = 120°

Therefore, the measure of ∠B is 120°.

Learn more about linear pairs: brainly.com/question/26555759