In the figure, j || k and m∠1 = 63°

what is m∠6?

M∠6=117°. since j║k, that means that ∠1 and ∠5 are corresponding angles, so m∠1=m∠5 (m∠5=63°). ∠6 is the supplement of ∠5 so their combined angle measurements must equal to 180°. so m∠6+m∠5=180°, m∠6+63=180°. solve for m∠6. then you come up with m∠6=117°. Hope this helps!