Question

find the value of x y z in the following figures​

Answer 1

Correct Question :-

• Find the value of 'x' in the following figure (Refer to my attachment)

Given :-

• ∠BAC = 30°
• ∠ABC = 34°
• ∠EDC = 45°

To Find :-

• ∠AED (x) = ?

Explanation :-

In order to find the value of 'x', we need to understand a theorem or we can say a property of triangle. Because we use this theorem to find the value of 'x'.

➤ Exterior Angle Theorem - The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.

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➠ In ∆ABC,

↠ ∠BAC + ∠ABC = ∠ECD  

[Exterior Angle Theorem]

↠   30° + 34° = ∠ECD

↠ ∠ECD = 64°

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➠ In ∆ECD,

↠ ∠ECD + ∠EDC = ∠AED

 [Exterior Angle Theorem]

↠ 64° + 45° = ∠AED

↠ ∠AED = 109°

↠ ∠AED = x = 109°

↠  x = 109°

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Hence, the value of 'x' in the following figure is 109°

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@Agamsain