Answer:
angle 1= 76 degrees
angle 2= 61 degrees
Step-by-step explanation:
if you draw a line down the middle of the trapezoid and think of the two halves as parallel lines cut by a transversal, your angle are alternate interior, which makes them equal to each other or congruent. another way to find the measure is by finding the supplement to your angle that are already labeled.
just subtract 76 and 119 from 180 to find the supplements, which are 104 and 61, respectively. now that you have two angles labeled inside the trapezoid, you can use your quadrilateral rules to find the other ones. the rule in this case is "consecutive angles equal 180." so, the angle right below to angle R (119 degrees) is angle 2. using subtraction rule, 180-119= 61.
repeat for angle Q to find the measure of angle 1, 180-104= 76.
