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Please how do u do number 7 someone HELP!!!

Please how do u do number 7 someone HELP!!!-example-1
User Rana Depto
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The value of the angles 2,4,6,8,10,12,14,16,18,20,22 and,24 is 37⁰

Even number angles are 37⁰

The value of the angles 1,3,5,7,9,11,13,15,17,19,21, and 23 is 143⁰

Odd number angles are 143⁰.

How the values of the numbered angles are calculated.

Given that line l parallel m and m parallel n, line

s parallel t.

∠1 = 143⁰

∠1 + ∠2 = 180( linear angles)

143 + ∠2 = 180

∠2 = 180 - 143

= 37⁰

∠1 = ∠3 (corresponding angles)

∠3 = 143⁰

∠2 = ∠4(corresponding angles, s||t)

∠4 = 37⁰

∠3 = ∠5(vertical angles)

∠5 = 143⁰

∠4 = ∠6(vertical angles)

∠6 = 37⁰

∠1 = ∠7( vert. ∠s)

∠7 = 143⁰

∠2 = ∠8 (vertical angles)

∠8 = 37⁰

∠1 = ∠9 ( corresponding angles, l || m)

∠9 = 143⁰

∠8 = ∠10 (alt. interior angles l || m )

∠10 = 37⁰

∠5 = ∠11 (alt. interior angles)

∠11 = 143⁰

∠6 = ∠12(alt. interior angles)

∠12 = 37⁰

∠11 = ∠13(vert. ∠s)

∠13 = 143⁰

∠12 = ∠14(vertical angles)

∠14 = 37⁰

∠9 = ∠15(vertical angles)

∠15 = 143⁰

∠10 = ∠16(vertical angles)

∠16 = 37⁰

∠15 = ∠17(alternate exterior angles)

∠17 = 143⁰

∠16 = ∠18(alternate angles)

∠18 = 37⁰

∠13 = ∠19 (alternate exterior angles)

∠19 = 143⁰

∠14 = ∠20(alternate interior angles)

∠20 = 37⁰

∠13 = ∠21(corresponding angles)

∠21 = 143⁰

∠14 = ∠22(corresponding angles)

∠22 = 37⁰

∠17 = ∠23(vertical angles)

∠23 = 143⁰

∠18 = ∠24(vertical angles)

∠24 = 37⁰

User Jelle
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