A)

Note: Your teacher will grade your response to this question to ensure you receive proper credit for your answer.
Is the triangle equilateral, isosceles, or scalene? Explain.

A circle is shown with triangle PQR inside of it.
• The angle shown between PQ outside of the circle is left-parenthesis 8x minus 10 right- parenthesis degrees.
• The angle shown between PR outside of the circle is left-parenthesis 6x right-parenthesis degrees.
• The angle shown between QR outside of the circle is left-parenthesis 10x plus 10 right- parenthesis degrees.

(3 points)

The triangle is isosceles. This can be determined by noticing that the angles between the sides of the triangle (8x-10, 6x, and 10x+10) are all different, indicating that the sides are not all equal in length. Therefore, the triangle is not equilateral. However, since two of the angles are equal (8x-10 and 6x), the triangle is isosceles.