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Answer:
90°
Step-by-step explanation:
Rhombus is equal to 180°= two right angles.
so one angle of rhombus is equal to 45°
but they given half of the angle so we need to subtract
45° from the given angle(30°)
=15°
every angle has the same value.
Now AOB is a triangle
Triangle =180°
Triangle AOB =A+O+B = 180°
=45°+O+45°=180°
90°+O=180°
O= 180°/90°=90°
Therefore,AOB = 90°
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Verified answer
[tex] \sf \longrightarrow [/tex] A Rhombus Holds Diagonals That Bisect Each Other At 90 Degrees, i.e., Right Angles.
[tex] \sf \longrightarrow [/tex] Hence, [tex] \sf \angle AOB = \angle AOD = \angle DOC = \angle COB = 90° = right \: \: angle.[/tex]
[tex] \sf \longrightarrow [/tex] In Rhombus [tex] \sf \angle ACD = \angle ACB = 30° = \angle DAC = \angle BAC [/tex]
[tex] \sf \longrightarrow [/tex] Hence,
[tex] \sf \longrightarrow [/tex] For [tex] \sf \angle ABO [/tex]
Hence, [tex] \sf \underline {\underline {\angle ABO = 60° }} [/tex]
Option (b). 60°
I hope it helps you ❤️✔️