ABCD is a rhombus and meausre of angle dce=25x

. Find measure of angle abc
.



ABCD is a rhombus and
. Find
.



130

115

25

65

1 answer

The opposite angles of a rhombus are congruent. Therefore, angle ABC is also equal to 25x. Since the sum of all angles in a quadrilateral is 360 degrees, we have:

25x + 25x + 90 + 90 = 360
50x + 180 = 360
50x = 180
x = 3.6

Therefore, the measure of angle ABC is:
25(3.6) = 90 degrees