Question

An exterior angle of a triangle is 125 degree . If one of the two interior opposite angle is 55 degree , then the other interior opposite angle is ?​

Answer 1

Step-by-step explanation:

70...this question is in my book also

Answer 2

Answer:

The other interior opposite angle is 70°.

Step-by-step explanation:

Given,an exterior angle of a triangle is 125 degree and

one of the two interior opposite angle is 55 degree.

Here we want to find value of the other interior opposite angle ?

We know,an exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles.

For example,

If value of exterior angle of a triangle is 100° and one of the two interior opposite angle is 55° and let value of the other interior opposite angle be x.

According to rule,

$x + {55}^{o} = {100}^{o} \\ x = {100}^{o} - {55}^{o} \\ x = {45}^{o}$

According to given question,

Value of exterior angle $= {125}^{o}$

and value of one of the two interior opposite angle $= {55}^{o}$

Let value of of other interior opposite angle be y.

So,

$y + {55}^{o} = {125}^{o} \\ y = {125}^{o} - {55}^{o} \\ y = {70}^{o}$

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