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**Triangle and Properties QA Test Question no. 10 in the answer**

x and ∠ ADC are the opposite angles to the isosceles sides in Δ ACD not y and ∠ ADC

So, x = 48 degrees and y = 84 degrees

If I am wrong, send me an explanation.

**Please answer as soon as possible.**

x and ∠ ADC are the opposite angles to the isosceles sides in Δ ACD not y and ∠ ADC So, x = 48 degrees and y = 84 degrees If I am wrong, send me an explanation. |

Hi Meghana!

You have found that ∠ADC = 48°

In isosceles triangle ACD, AC = AD.

Thus, the opposite angles opposite to these sides of this triangle must be equal.

But the angles opposite to sides AC and AD of triangle ACD are ∠ADC and ∠ACD respectively.

∴ ∠ACD = ∠ADC

⇒

*y*= 48°Now using angle sum property in ΔACD, we have

∠CAD + ∠ACD + ∠CDA = 180°

⇒

*x*+ 48° + 48° = 180°⇒

*x*= 180° − 96°⇒

*x*= 84°This is why

*x*= 84° and*y*= 48°.Hope! This will help you.

Cheers!!!

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