Question

plz solve it as soon as possible ​

Answer 1

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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Answer 2

$\sf \longrightarrow$ A Rhombus Holds Diagonals That Bisect Each Other At 90 Degrees, i.e., Right Angles.

$\sf \longrightarrow$ Hence, $\sf \angle AOB = \angle AOD = \angle DOC = \angle COB = 90° = right \: \: angle.$

$\sf \longrightarrow$ In Rhombus $\sf \angle ACD = \angle ACB = 30° = \angle DAC = \angle BAC$

$\sf \longrightarrow$ Hence,

$\sf \longrightarrow$ For $\sf \angle ABO$

• $\sf ∆ABO = \angle AOB + \angle ABO + \angle BAO$

• $\sf 180° = 90° + \angle ABO + 30°$

• $\sf 180° = 120° + \angle ABO$

• $\sf \angle ABO = 180° - 120°$

• $\sf \angle ABO = 60°$

Hence, $\sf \underline {\underline {\angle ABO = 60° }}$

Option (b). 60°

I hope it helps you ❤️✔️