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Answer:
(180-33)+180 hoga
calculate kar lo
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Answer:
- 294° is the sum of ∠B and ∠D.
Step-by-step explanation:
Given :
In a rhombus ABCD ∠A = 33°.
To find :
∠B + ∠D.
Solution :
In the figure, ABCD is a rhombus.
- ∠A = 33°
Now,
∠A = ∠C = 33°
- [∵ Opposite angles are equal]
Now,
∠A + ∠B = 180°
- [∵ Interior angles on the same side of the transversal are supplementary]
33° + ∠B = 180°
- ∠B = 147°
Now,
∠B = ∠D = 147°
- [∵ Opposite angles are equal]
∴ The measure of ∠B = 147°, ∠C = 33°, ∠D = 147°.
∴ ∠B + ∠D = 147° + 147° = 294.
Verification :
- Sum of all the angles in a rhombus is equal to 360°.
∠A + B + ∠C + ∠D = 360°
⇒ 33° + 147° + 33° + 147° = 360°
⇒ 66° + 294° = 360°
⇒ 360° = 360°
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