Question 1050505
{{{drawing( 600, 600, -5,15, -5, 15,
locate(7.5,4.4,3),locate(8.8,4.4,4),
locate(6.6,3.9,2),locate(7.6,3.9,5),
locate(3.3,2.5,1),locate(4.7,2.5,6),
locate(1.8,1.8,38deg),locate(3.8,1.8,7),
 graph( 600, 600, -5,15, -5, 15, x/2,4,2)) }}}

A direct result of the famous Parallel Postulate is that corresponding angles are equal. 

< {{{1}}} and < {{{38deg}}} are  supplementary angles - those add up to {{{180}}}° 

so, the measure of < {{{1}}} is < {{{1}}}={{{180-38=142}}}° 


since, by Parallel Postulate, < {{{3}}}=< {{{1}}} are corresponding angles,  the measure of < {{{3}}} is {{{142}}}°