Angles
Practice angle relationships formed by parallel lines and polygons.
18 questions
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The measure of angle R is 2π ⁄ 3 radians. The measure of angle T is 5π ⁄ 12 radians greater than the measure of angle R. What is the measure of angle T, in degrees?
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In the figure shown, line c intersects parallel lines s and t. What is the value of x?
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The sum of the interior angles of a polygon is equal to three times the sum of its exterior angles. How many sides does the polygon have?
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Andrea draws a polygon with x number of sides. The sum of the interior angles of her polygon is 60 times its number of sides. How many sides does Andrea’s polygon have?
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If the sum of the interior angles of a polygon is equal to the sum of the exterior angles, which of the following statements must be true?
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The sum of the interior angles of a polygon is 9x 2 . If x is 3 greater than the number of sides of the polygon, how many sides does the polygon have?
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If the ratio of the perimeter of octagon ABCDEFGH to the perimeter of octagon STUVWXYZ is 1:1, which of the following must be true?
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The perimeter of a regular seven-sided polygon is 11x – 4. If x = 8, what is the length of one side of the polygon?
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If the sum of the interior angles of a regular polygon equals 720°, and the length of one side of the polygon is 3x 2 , what is the perimeter of the polygon?
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Andrew constructs a polygon with four sides and no right angles. His polygon
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Angle E of rhombus EFGH measures 3x + 5. If the measure of angle H is 4x, what is the measure of angle F?
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DeDe has four identical line segments. Using them, she can form
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The diagonals of rectangle ABCD intersect at E. Which of the following is NOT always true?
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Monica draws a quadrilateral whose diagonals form four right triangles inside the quadrilateral. This quadrilateral
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The length of a rectangle is four less than twice its width. If x is the width of the rectangle, what is the perimeter of the rectangle?
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The length of one side of a rhombus is x 2 – 6. If the perimeter of the rhombus is 168 units, what is the value of x?
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The length of a rectangle is four times the length of a square. If the rectangle and the square share a side, and the perimeter of the square is 2 m, what is the perimeter of the rectangle?
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Four squares are joined together to form one large square. If the perimeter of one of the original squares was 8x units, what is the perimeter of the new, larger square?
Medium