Question

In the adjoining figure, transversal m intersects the two lines Check if p||q
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Answer 1

$\huge\mathtt\red{HEY!}$

$\large\underline\orange{\sf{Given~-}}$

Two angles that are 70°&110°

$\large\underline\pink{\sf{To~prove-}}$

$\large{\sf{p~is~parallel~to~q}}$

$\large\underline\green{\sf{Proof-}}$

$\large{\sf{angle~1=angle~3(Vertically~opp.~angles}}$

$\large{\sf{angle~3=~110°}}$

$\large{\sf{angle~3+angle~6=180°~(Co-interior~angles}}$

$\large{\sf{70°+110°~=180°}}$

$\large{\sf{180°=180°(Hence~verified)}}$

When the angles on the same side of transversal sum is 180°, the sides are parallel.

$\large\underline\purple{\sf{.°.~We~can~say~that~p~||~to~q}}$

$\large\green{\sf{✤✤-Hope~it~helps-✤✤}}$