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Find the measure of angle 5 if the measure of angle 7 is 115 degrees

Find the measure of angle 5 if the measure of angle 7 is 115 degrees-example-1

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Answer:

m<5=115°

Explanation:

Hi there!

We're given the measure of <7 as 115° and we need to find the measure of <5

vertical angles theorem is a theorem that states that angles that share opposite angles that share the same vertex (corner point) are congruent. An example of a pair of vertical angles on the given transversal would be <8 and <6

<5 and <7 are also vertical angles

since m<7=115°, by vertical angles theorem, m<5 is also equal to 115°

Hope this helps! :)

User Elunap
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