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