Question

an exterior angle of a triangle is 115 and one of the interior opposite angles is 60 the other interior opposite angles is ​

Answer 1

Answer:

other interior opposite angle is equal to 55

Step-by-step explanation:

we know that exterior angle is equal to sum of opposite sides

exterior angle = 115

one of the interior angle = 60

115 = 60 + x

x = 115 - 60

x = 55

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Answer 2

Determining one interior angle of a triangle

Answer: measure of required interior opposite angle is 55 degree.

Explanation:

given that

Exterior angle of triangle  = 115

One of interior opposite angle = 60

Need to determine other interior opposite angle .

Here we eill be using following theorem which says that "sum of two interior opposite angles of triangle  is equal to an exterior angle".

=> Exterior angle of triangle = one interior opposite angle + second interior opposite angle

=> 115 = 60  + second interior opposite angle

=> second interior opposite angle = 115 - 60 = 55

So measure of required interior opposite angle is 55 degree.

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