Question

In a triangle, an exterior angle at a vertex is 95° and its one of the interior opposite angle is 55°, then the measure of the other interior angle is
A. 55°
B. 85°
C. 40°
D. 9.0°

Answer 1

Given : In a triangle, an exterior angle at a vertex is 95° and its one of the interior opposite angle is 55°.

 

We know that, In a triangle,  an exterior angle so formed is equal to the sum of the two interior opposite angles.

Let, the measure of the other interior angle is x.

x + 55° = 95°

x = 95° – 55°

x = 40°

Hence, the measure of the other interior angle is is 40°.

Among the given options option (C)  40° is correct.

HOPE THIS ANSWER WILL HELP YOU…..

 

Similar questions :

In Δ ABC ∠B= ∠C and ray AX bisects the exterior angle ∠DAC. If ∠DAX =70°, then ∠ACB = A. 35° B. 90° C. 70° D. 55°

https://brainly.in/question/15906901

 

In a triangle, an exterior angle at a vertex is 95° and its one of the interior opposite angle is 55°, then the measure of the other interior angle is A. 55° B. 85° C. 40° D. 9.0°

https://brainly.in/question/15906886

Answer 2

Answer:-

Given :

In a triangle, an exterior angle at a vertex is 95° and its one of the interior opposite angle is 55°.

 

We know that, In a triangle,  an exterior angle so formed is equal to the sum of the two interior opposite angles.

Let, the measure of the other interior angle is x.

x + 55° = 95°

x = 95° – 55°

x = 40°

Hence, the measure of the other interior angle is is 40°.

Among the given options option (C)  40° is correct.

Hope it's help You❤️