A)
Note: Your teacher will grade your response to this question to ensure you receive proper credit for your answer.
a. Find x. The figure is not drawn to scale.
b. 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)
a)
The angles outside the circle must add up to 360 degrees (since they are all angles that intersect the circle).
So, (8x - 10) + (6x) + (10x + 10) = 360
Simplifying, we get 24x = 360
Dividing by 24, we get x = 15
b)
To determine if the triangle is equilateral, isosceles, or scalene, we need to compare the side lengths.
Since we only have information about the angles and not the side lengths, we cannot definitively say if the triangle is equilateral, isosceles, or scalene.