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.
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. |
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!!!