Posted by Anonymous on Tuesday, March 1, 2011 at 9:56pm.
IN rhombus ABCD, measure of angle DAB equals two times the measure of angle ADC and CB equals 6. Find measure of angle ACD

Geometry  drwls, Wednesday, March 2, 2011 at 8:15am
Opposite angles of a rhombus are equal are equal. The sum of rhombus angles is 360.
Let angle DAB = angle BCD = a
Then angle ADC = angle ABC = a/2
3a = 360
a = 120
The rhombus internal angles are 120 (twice) and 60 (twice).
ACD is not a rhombus angle. AC is a diagonal, with length 6. ACD is the angle between diagonal AC and side CD. Draw the figure and you will see that ACD is 60 degrees.
It makes no difference what side CD is. That information was not required.
Answer This Question
Related Questions
 geometry  in an isosceles trapezoid, ABCD, AD congruent BC. diagonal AC bisects...
 geometry  ray EC bisects angle BED, The measure of angle AEB equals 11x minus ...
 geometry  Construct trapezium ABCD so that BC equals 6cm,AB equals 3cm,Angle B ...
 Algebra  In triangle ABC, the measure of angle B is 8 degrees more than three ...
 geometry  angle A, B, C, D are related the measure of anle B is 1/2 the measure...
 algebraic equation and inaqualities  in a triangle XYZ,the measure of angle Y ...
 Geometry  In the accompanying diagram of rhombus ABCD, diagonal BD is drawn ...
 geometry  raise pq and qr are perpendicular point s lies in the interior of ...
 Geometry  The measure of angle B, the supplement of angle A, is four times the ...
 Geometry  the measure of the supplement of an angle is 40 more than two times ...
More Related Questions