Q. 2

In the figure, ABC is a triangle in which AB = AC. Find x° and y°.


Answer :

Theorem 2:


If a side of a triangle is produced, the exterior angle so formed, is equal to the sum of the two interior angle.


ACE + ACB = 180°


x + 48° + x° = 180°


2x + 48° = 180°


2x = 180° - 48°


2x = 132°



x = 66°


Ext. A = B + C


y° = x° + x°


y° = 2x°


y° = 2 × 66°


y° = 132°


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