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please help. how do i find these angles and what are they? if you can pls explain the angles too. thank you so so much !!

please help. how do i find these angles and what are they? if you can pls explain-example-1
User Chris Lieb
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1 Answer

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Answer:

5. 1=112º

5. 2=68º

5. 3=112º

6. 1=45º

6. 2=45º

6. 3=135º

Explanation:

5. 1 is a vertical angle to 112º, so they are equal (1 is obtuse)

5. 2 and 112º form to create a straight angle (line/180º) (supplementary angles) so subtracting the known number (112) from the total (180) gives you the number of the missing angle (2 is acute)

5. 3 is the same as 1 (3 is obtuse)

6. 1 and 45º are equal to each other (1 is acute)

6. 2 and 1 and 45º are equal and vertical angles (2 is acute)

6. 3 and 45º form to create a straight angle (line/180º) (supplementary angles) so subtracting the known number (45) from the total (180) gives you the number of the missing angle (3 is obtuse)

User Bjnortier
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