abcd is a parallelogram if the two diagonals are equal find the measure of angle abc - Maths - Triangles

Question

abcd is a parallelogram if the two diagonals are equal find the
measure of angle abc

Duke Biswass · Accepted Answer

<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/discuss_editlive/5474837/2013_09_05_13_07_14/Untitled_2093679220073672162%20png">
ABCD is a parallelogram in which as you can see the diagonals
are equal According to properties of paralleograms this is true
only when the parallelogram is a rectangle
Now as ABCD is a rectangle all its angles are equal to
90Âº
Hence, angle ABC=90Âº
If the diagonals are not of equal length ABCD would not be a
rectangle

abcd is a parallelogram.if the two diagonals are equal.find the measure of angle abc