What is the area of this tile ?

<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