Two angles form a linear pair. The measure of one angle is six more than twice the measure of the other angle. Find the measure of each angle.

Question

Mathematics

Rene

23 January, 02:28

Two angles form a linear pair. The measure of one angle is six more than twice the measure of the other angle. Find the measure of each angle.

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Answers (2)

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Zaniyah Ware · Answer 1

Let one be x, the other is 2x + 6.

Since they form a linear pair they both add up to 180 degrees.

x + 2x + 6 = 180

3x + 6 = 180

3x = 180 - 6

3x = 174

x = 174/3 = 58

2x + 6 = 2*58 + 6 = 122

The measure of each angles are 58 and 122 degrees.

Abbey Acosta · Answer 2

We let x and y represent the two angles,

y = 2x + 6

It was stated in the problem that these angles given are a linear pair. Angles in linear pair are said to add up to 180 degrees. Thus,

y + x = 180

2x + 6 + x = 180

3x = 174

x = 58°

y = 122°