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.
• 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)
BoldItalicUnderlineBullet listNumbered list
a. To find x, we can set up the equation: (8x - 10) + (6x) + (10x + 10) = 180 (sum of angles in a triangle is 180 degrees)
Solving for x:
8x - 10 + 6x + 10x + 10 = 180
24x = 180
x = 7.5
b. The triangle is scalene because all three angles have different measures.
make it seem like a human wrote it
To find x, we need to add up the angles outside the circle: (8x - 10) + (6x) + (10x + 10) = 180 (since a triangle's angles add up to 180 degrees). When we solve the equation, we find that x equals 7.5.
As for the type of triangle, it's scalene because all three angles have different measurements.