Two angles form a linear pair. The measure of one angle is 3.5 times the measure of the other angle. Find the measure of each angle.

Respuesta :

Given that the two angles form a linear pair, the measure of each angle is 40° and 140°.

What is the measure of each angle?

The sum of angles of a linear pair is always equal to 180°.

Given the data the data in the question;

Let x represent the measure of the first angle.

  • Measure of angle 1 = x
  • Measure of angle 2 = 3.5x

Since the sum of angles of a linear pair is always equal to 180°.

m∠1 + m∠2 = 180

x + 3.5x = 180

Solve for x

4.5 = 180

x = 180/4.5

x = 40

Hence,

Measure of angle 1 = x = 40°

Measure of angle 2 = 3.5x = 3.5(40) = 140°

Given that the two angles form a linear pair, the measure of each angle is 40° and 140°.

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