Question

An exterior angle of a triangle measure 85 degree and one of its interior opposite angles measure 25 degree.Find the measure of the Other interior opposite angle.​

Answer 1

Answer:

60

Step-by-step explanation:

as the sum of the exterior angle and remote interior angles are same.

Answer 2

The measure of the other opposite interior angle = 60°

Given:

An exterior angle of a triangle measure 85°

One of its opposite interior angles measure 25°

To find:

Find the measure of the Other interior opposite angle.

Solution:

Triangles, Exterior Angle Theorem

When a side of a triangle is extended, the formed exterior angle is equal to the sum of the two interior opposite angles of the exterior angle.

By using above statement we will solve given question

Given that an exterior angle of the triangle = 85°

and it's one of opposite interior angles = 25°

Let us assume that other opposite angle = x°

As we mentioned above,

⇒ x° + 25° = 85°

⇒  x° = 85° - 25°

⇒  x° = 60°

Therefore,

The measure of the other opposite interior angle = 60°

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