In a rhombus ABCD, $\angle$DAC = 45* . Find the measure of following angles
a)$\angle$ACBb)$\angle$ADBc)$\angle$ABC

Solution:

Given Rhombus ABCD

 $\angle$DAC = 45 degrees

 $\angle$ACB = $\angle$DAC = 45 degrees (alternate angles)

$\angle$ADB = 45 degrees as angle at point of intersection of diagonals is 90 degrees

$\angle$ABC = 90 degrees. All angles or the rhombus are equal to 90 degrees and 

this rhombus is a square.