Use rhombus ABCD and the given information to find each valu

Use rhombus ABCD and the given information to find each value, If mLBAF 280, find mLACD, 1. mZACD Find the value of x\" if mLAFB (16x +6). mLABC If m ACD- 34., find mLABc. 12 4. x Find the value of x\' if mZBFC (120 4x) 5, x What is the value of \"x if m (4x LBAC 6) and mLACD (12x 18) Use rhombus PQRS and the given information to find each value 6. SQ t If ST* 13, find so. If mLPRS 17e, find mLQRS 8. m/STR. Find mLSTR If SP 4x -3 and PQ 18 x, find the value of \"x\"

Solution

1) AB || CD and AC transversal.

So m<ACD= alternate m<BAC=m<BAF=28^o

5) m<BAC=m<ACD from (1)

=> 4x + 6 = 12x - 18

=> 8x = 24

=> x = 3