Answer:x = 60y = 60
Step-by-step explanation:
In Triangle OABangle AOB = 90so, 30 + 90 + x = 180(sum of angles of a triangle)120 + x = 180x = 180 - 120∴ x = 60angle OAB = angle OAD(diagonals of a rhombus bisect the angle)∴ angle OAB = 30In Triangle AODangle OAD + angle AOD + y = 180(sum of angles of triangle)30 + 90 + y = 180120 + y = 180y = 180 - 120∴ y = 60
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Answer:
x = 60
y = 60
Step-by-step explanation:
In Triangle OAB
angle AOB = 90
so,
30 + 90 + x = 180
(sum of angles of a triangle)
120 + x = 180
x = 180 - 120
∴ x = 60
angle OAB = angle OAD
(diagonals of a rhombus bisect the angle)
∴ angle OAB = 30
In Triangle AOD
angle OAD + angle AOD + y = 180
(sum of angles of triangle)
30 + 90 + y = 180
120 + y = 180
y = 180 - 120
∴ y = 60