Question

find all the angles of a triangle if the exterior angle at one vertex is 95 degree and one of its interior opposite angle is 55 degree​

Answer 1

Step-by-step explanation:

Exterior angle=95°

One of the interior angle is 55°

Exterior angle=sum of the opposite interior angles.

Let x be the another opposite interior angle

95°=55°+x

x=95°-55°

x=40°

The another opposite interior angle is 40°.

Let y be the third angle in the triangle.

The angles in a triangle are:-

55°+40°+y=180°

95°+y=180°

y=180°-95°

y=85°

The angles in a triangle are 55°,40° and 85°

Answer 2

Answer:

55,40,85 degrees

Step-by-step explanation:

Exterior angle=95°

One of the interior angle is 55°

Exterior angle=sum of the opposite interior angles.

Let x be the another opposite interior angle

95°=55°+x

x=95°-55°

x=40°

The another opposite interior angle is 40°.

Let y be the third angle in the triangle.

The angles in a triangle are:-

55°+40°+y=180°

95°+y=180°

y=180°-95°

y=85°

The angles in a triangle are 55°,40° and 85°

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