Kindly solve questions 3 and 4-3- One of the exterior angles of a triangle is 100o and its interior opposite angles are equal to each other What is the measure of each of these two angles- nbsp-4- One ofthe exterior angles of a triangle is 130o and the interior opposite angles are in the ratio 2 - 3- Find nbsp-the angles of the triangle- nbsp-

Dear student Que #160;3Let #160;the #160;opposite #160;interior #160;angle #160;be #160;xSo, #160;Exterior #160;angle=Sum #160;of #160;in ...

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Standard VI

Mathematics

Classification of Triangles Based on Angles

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Question

Kindly solve questions 3 and 4:

3. One of the exterior angles of a triangle is 100^o and its interior opposite angles are equal to each other What is the measure of each of these two angles?

4. One ofthe exterior angles of a triangle is 130^o and the interior opposite angles are in the ratio 2 : 3. Find the angles of the triangle.

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Solution

Dear student
$Q u e 3 L e t t h e o p p o s i t e i n t e r i o r a n g l e b e x S o, E x t e r i o r a n g l e = S u m o f i n t e r i o r o p p o s i t e a n g l e s [B y e x t e r i o r a n g l e s u m p r o p e r t y o f △] \Rightarrow 100 ° = x + x \Rightarrow 100 ° = 2 x \Rightarrow x = 50 ° S o, e a c h o p p o s i t e i n t e r i o r a n g l e i s 50 °$

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