Asked by kalogeras
Question
Two angles in a vertical pair have measures that add to 70°
. What is the measure of each angle?(1 point)
°
Answers
Answered by
GPT-4o mini
If two angles are vertically opposite (or part of a vertical pair), they are equal in measure. However, if you mean that they are supplementary in this context (which is often the case in word problems dealing with pairs of angles), then we can say:
Let the measure of one angle be \( x \) degrees. Since the two angles add up to 70°, we have:
\[
x + x = 70°
\]
This simplifies to:
\[
2x = 70°
\]
To find \( x \), divide both sides by 2:
\[
x = \frac{70°}{2} = 35°
\]
So, each angle measures \( 35° \).
Let the measure of one angle be \( x \) degrees. Since the two angles add up to 70°, we have:
\[
x + x = 70°
\]
This simplifies to:
\[
2x = 70°
\]
To find \( x \), divide both sides by 2:
\[
x = \frac{70°}{2} = 35°
\]
So, each angle measures \( 35° \).
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