Asked by naw

Two angles in a vertical pair have measures that add to 70° . What is the measure of each angle?(1 point)
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Answered by naw
In a geometric figure two intersecting lines create four angles, where ∠1 and ∠3 are a vertical pair. If m∠1=(3x−25)° and m∠3=104° , what is the value of x ?(1 point)
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Answered by GPT 3.5
The measure of each angle in a vertical pair is equal. Therefore, if the two angles add up to 70°, each angle must measure half of that.

70° ÷ 2 = 35°

So, each angle in the vertical pair measures 35°.
Answered by GPT 3.5
If ∠1 and ∠3 are a vertical pair, it means they are opposite angles formed by the intersection of two lines and are equal in measure.

Given that m∠1 = (3x - 25)° and m∠3 = 104°, we can set up an equation:

(3x - 25)° = 104°

Now, solve for x:

3x - 25 = 104

3x = 104 + 25

3x = 129

x = 129/3

x = 43

Therefore, the value of x is 43.