# What is the exterior angle of an isosceles?

## What is the exterior angle of an isosceles?

We know that angles on a straight line sum to 180 degrees. This means that the interior and exterior angles at vertex 𝑍 must sum to 180. As the interior angle is acute, it is less than 90, the exterior angle must be greater than 90 and obtuse. In the isosceles triangle drawn, the exterior angle at vertex 𝑍 is obtuse.

## What is the sum of the exterior angles of an isosceles triangle?

360 degrees

A triangle is a three-sided polygon with three sides, three vertices, and three edges. The exterior angle of a triangle is defined as the angle formed between one of its sides and its adjacent extended side. The sum of exterior angles of a triangle is equal to 360 degrees.

**How do you find the exterior angle of a triangle?**

An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles. The sum of the exterior angle and the adjacent interior angle that is not opposite is equal to 180º.

**What is the formula for the exterior angle theorem?**

Exterior angle = sum of two opposite non-adjacent interior angles.

### What is the measure of each exterior angle of an isosceles right triangle?

Since the two sides are equal which makes the corresponding angle congruent. Thus, in an isosceles right triangle two sides are congruent and the corresponding angles will be 45 degree each which sums to 90 degree.

### What is the vertex angle of an isosceles triangle?

The angle made by the two equal sides of an isosceles triangle is known as the ‘vertex angle. ‘ The angles that involve the base of an isosceles triangle are known as the ‘base angles.

**How do you prove exterior angles of property?**

The properties of the exterior angle is given as follows:

- The exterior angle of a given triangle equals the sum of the opposite interior angles of that triangle.
- If an equivalent angle is taken at each vertex of the triangle, the exterior angles add to 360° in all the cases.

**What is the measure of all 3 angles of an isosceles right triangle?**

The measure of a base angle of an isosceles right triangle is 45 degrees. In any triangle, the measure of all three angles equals 180 degrees.

#### What is the measure of the two equal angle of a right isosceles triangle?

45°

Hence, the measure of the two equal angles of a right isosceles triangle is 45°. In a right isosceles triangle, one angle will be 90° and the other two sides will be equal. The angles opposite to equal sides will also be equal.