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Need help with diagram and unkown angle measures.

Need help with diagram and unkown angle measures.-example-1

2 Answers

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Angle one is 65 and angles 2 and 3 are 115
User Diegog
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We can find the measure of angle one by using the fact that angle seven is supplementary to the angle that is 115°. Since it is supplementary, that means that its value + 115° = 180°. Subtracting 115° from each side, we can see that m< 1 = 65°.

We can find the measure of angle two by knowing that it is a vertical angle to the angle that is 115°. Since it is a vertical angle, and from the vertical angles theorem we know that vertical angles are equal in measure, m< 2 = 115°.

We can find the measure of angle 3 by knowing that it is a corresponding angle to the angle that measures 115°. Since it is corresponding, we know that it is equal, meaning that the measure of angle 3 is 115°.
User Rahul Umap
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