Using the information given in the figure, the values of x and y are ___________

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Using the information given in the figure, the values of x and y are ___________ .

Using The Information Given In The Figure, The Values Of X A...

Options:

A . x = 15, y = 9

B . x = 9, y = 15

C . x = 14, y = 9

D . x = 15, y = 10

Answer: Option A
:
A
Given,

A B = A C

⟹ 94 = 6 x + 4 ⟹ 6 x = 90 ⟹ x = 15

Using The Information Given In The Figure, The Values Of X A...

In

△ A B D

and

△ A C D

,
(i)

∠ A D B = ∠ A D C = 90^{\circ}

... (given)
(ii) AB = AC ...(given)
(iii) AD = AD ... (common side)

\Rightarrow

△ A B D ≅ △ A D C

... (RHS congruence rule)
Then,

B D = C D

...(CPCT)

\Rightarrow 2 y - 7 = 11 \Rightarrow 2 y = 18 \Rightarrow y = 9

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