Question

Two angles in a vertical pair have measures that add to 70° . What is the measure of each angle?(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

In a vertical pair of angles, the angles are formed by two intersecting lines and are opposite each other. We know that the sum of the measures of the angles in a linear pair is 180°. So, if two angles in a vertical pair have measures that add to 70°, then the two angles add up to 180°.

Let one of the angles be x°.

The other angle in the vertical pair would be 180° - x°.

Since the sum of the measures of the two angles is 70°:

x° + (180° - x°) = 70°

Simplifying the equation:
180° = 70°

Combining like terms and subtracting 70° from both sides:
x° = 70°

Therefore, one angle in the vertical pair has a measure of 70°, and the other angle has a measure of 180° - 70° = 110°.

Answer 2

Wrong is a single number answer not an equation

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the confusion. In that case, if two angles in a vertical pair have measures that add to 70°, then each angle must be half of that sum.

Let one of the angles be x°.

The other angle in the vertical pair would be 70° - x°.

Since the sum of the measures of the two angles is 70°:

x° + (70° - x°) = 70°

Simplifying the equation:

x° + 70° - x° = 70°

Combining like terms:

70° = 70°

Therefore, each angle in the vertical pair has a measure of:

x° = 70°/2 = 35°

Thus, each angle in the vertical pair measures 35°.