STEP-BY-STEP SOLUTION:
First we will find ( x ) so that we can then find ( z ) in order to then finally find ( y ).
To find x -
The sum of angles at a point is 360°.
As this is a rhombus ( tilted square ), all of the four angles which meet at the centre of the rhombus are equivalent to each other. This means that each of the angles are equivalent to ( x ). Therefore, four of the angles ( 4x ) is equivalent to 360°.
4x = 360
x = 360 / 3
x = 90°
To find z -
Angle sum of triangle = 180°
Therefore:
z + x + 63 = 180
z + ( 90 ) + 63 = 180
z = 180 - 90 - 63
z = 27°
To find y -
The diagonals of the rhombus split each corner of the rhombus into half.
Therefore:
y = z
y = 27°
FINAL ANSWER:
The answer is:
y = 27°
Hope this helps! :)
Have a lovely day! <3
