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Maths-

General

Easy

Question

In the given figure $AB equals AC equals AD comma space of 1em straight angle straight B equals 23 to the power of ring operator$ , and $straight angle D equals 47 to the power of ring operator$ . find $straight angle B C D$

hint Hint:

As we know AB = AC and AC = DC we find ∠ ACB and ∠ DCA.
And add them to get ∠ BCD

The correct answer is: ∠ BCD = 70°

In $straight capital delta$ ADC, we know AC = AD
∠ DCA = ∠D ( angles opposite to equal sides are equal)
∠ DCA = 47° (given, ∠ D = 47°)
In $straight capital delta$ ABC, we know AC = AB
∠ BCA = ∠ B ( angles opposite to equal sides are equal)
∠ BCA = 23° (given, ∠ B = 23°)
From diagram we get
∠ BCD = ∠ BCA + ∠ DCA
∠ BCD = 23° + 47°
∴∠BCD = 70°

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