SOLUTION: (angle) ABD and (angle) BDC are complementary. Find the measures of both angles: (angle) ABD=(5y+1) degrees, (angle) BDC= (3y-1) degrees.

Algebra ->  Angles -> SOLUTION: (angle) ABD and (angle) BDC are complementary. Find the measures of both angles: (angle) ABD=(5y+1) degrees, (angle) BDC= (3y-1) degrees.      Log On


   

Question 218150: (angle) ABD and (angle) BDC are complementary. Find the measures of both angles:

(angle) ABD=(5y+1) degrees, (angle) BDC= (3y-1) degrees.
Answer by alicealc(293) About Me  (Show Source):
You can put this solution on YOUR website!
angle ABD and angle BDC are complementary,
so it means that: angle ABD + angle BCD = 90 degrees
(5y + 1) + (3y - 1) = 90
8y = 90
y = 90/8 = 11.25

so, angle ABD = (5*11.25 + 1) = 57.25 degrees
and angle BCD = (3*11.25 - 1) = 32.75 degrees