Answer:
<A = 55
<B = 125
<C = 55
<D = 125
Step-by-step explanation:
the two given angles in this are adjacent, adjacent angles in parallelograms are always supplementary
so we can set the equation to:
2x + 15 + x = 180
solve this to get x = 55
For <B plug in 65 to 2x + 15:
2(55) + 15 = 125
opposite angles in parallelograms are congruent, so B and D have the same measure and A and C have the same measure
knowing this, <D is also 125
<C is just x, so 55
and <A is opposite to <C so <A is also 55
