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- Geeganage WLv 54 weeks ago
According to the data given ∠HGI = 180° - 2m.

∴ ∠JGI = 2m and ∠JGIK= ∠KGI = m,

∴ ∠GHI = ∠JGIK and are corresponding angles (or, angles ∠JGIH = ∠KGI and are alternate angles).

∴ GK ∥ HI.

- ted sLv 74 weeks ago
< 1 = < 2 and <H = < I...and <JGI = <H + < I ===> 2 <1 = 2 <H ===> <1 = <H ===> parallel......note : <w is the measure of w

- 4 weeks ago
I think you need to use the fact that the sum of a triangle angles is 180

and the fact that hj is a line so the top angle of the triangle plus angles 1 & 2 is 180

angleh=anglei

angletop = 180 - angleh - anglei

angletop also = 180 - angle1 - angle2

angle1=angle1

angleh=anglei

so anglei=angle2

so gk is parallel

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