Given: abcd ∥gram, bk ⊥ ad , ab ⊥ bd ab=6, ak=3 find: m∠a, bk, a

Given: ABCD ∥gram,

BK ⊥ AD , AB ⊥ BD

AB=6, AK=3

Find: m∠A, BK

To proof

  as given BK ⊥ AD

thus ΔABK is a right triangle.

thus by using the pythagoras theorem

we have

AB² = BK² + AK²

BK²  = AB ²- AK²

     = 6² - 3²

     = 36 - 9

     = 27

Hence

BK = unit

Now find the value  m∠A

by using the trignometric function

FORMULA

cosA =

cosA =

       =

m∠A = 60°

hence proved

the answer to the question is a  

it has the same slope and the same y-intercept.

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: