Question

ABCD is a rhombus with BAC = 37° then find DBC.​

Answer 1

ANSWER

53°

Step-by-step explanation

angle A = angle C ( opposite angle of a rombus are equal )

= 37 × 2 = 74°

There For ,

angle A + angle C

=74° + 74°

=148°

__

angle B = angle D ( opposite angle of a rombus are equal )

angle B + angle D = 360° - 148° ( 360° - sum of all angle of rombus , 148° - angle A + angle B )

= 212°

angle B = 212° ÷ 2

= 106°

angle DBC = 106° ÷ 2

= 53°