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