# SOLUTION: help me figure out proofs involving triangles? Given: m&#8736;3 = m&#8736;7 m&#8736;2 = 60° m&#8736;6 = 115° m&#8736;5 = ? I've figured out that m&#8736;4 = 10, but from

Algebra ->  Geometry-proofs -> SOLUTION: help me figure out proofs involving triangles? Given: m&#8736;3 = m&#8736;7 m&#8736;2 = 60° m&#8736;6 = 115° m&#8736;5 = ? I've figured out that m&#8736;4 = 10, but from       Log On

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 Geometry: Proofs in Geometry Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Geometry proofs Question 554559: help me figure out proofs involving triangles? Given: m∠3 = m∠7 m∠2 = 60° m∠6 = 115° m∠5 = ? I've figured out that m∠4 = 10, but from there how would i figure out what m∠5 equals? Here's a pic of the triangle below http://assets.openstudy.com/updates/attachments/4f0b3b0be4b014c09e64bd2b-avieira-1326136086980-page69b.gif Thank you so much in advance!Answer by Edwin McCravy(9716)   (Show Source): You can put this solution on YOUR website!help me figure out proofs involving triangles? Given: m∠3 = m∠7 m∠2 = 60° m∠6 = 115° ``` Since m∠2 = 60°, m∠1 = 180°-60° = 120° Since m∠6 = 115°, m∠5 = 180°-115° = 65° That's all you wanted, but I'm going to find them all, since no doubt you'll need to know how. Since m∠5 = 65° and m∠2 = 60°, and angles 2,3, and 5 are interior angles of the same triangle, and have sum 180°, then m∠3 = 180°-65°-60° = 55° m∠7 = 55°, since we are given that m∠3 = m∠7 Since m∠6 = 115° and m∠7 = 55°, and angles 4,6, and 7 are interior angles of the same triangle, and have sum 180°, then m∠4 = 180°-115°-55° = 10° (You got that one right, but you didn't need it to find m∠5) m∠1 = 120° m∠2 = 60° m∠3 = 55° m∠4 = 10° m∠5 = 65° m∠6 = 115° m∠7 = 55° Edwin```