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Geometry Problems: Solve for x and Measure Angles

Practice solving geometry problems involving equations and angle measurements in rectangles and parallelograms. Find the value of x and angle measures using given information.

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Geometry Problems: Solve for x and Measure Angles

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  1. Warm Up Solve for x. 1.16x – 3 = 12x + 13 2. 2x – 4 = 90 ABCD is a parallelogram. Find each measure. 3.CD4. mC

  2. Rectangles A quadrilateral is a rectangle if: Opposite sides are congruent Opposite sides are parallel Opposite angles are congruent Consecutive angles are supplementary All four angles are right angles Diagonals are congruent Diagonals bisect each other Diagonals create 4 isosceles triangles.

  3. 1. If m ∠ 1 = 30, find m ∠ 2. 2. If m ∠ 6 = 57, find m ∠ 4. 3. If m ∠ 8 = 133, find m ∠ 2. 4. If m ∠ 5 = 16, find m ∠ 3.

  4. Quadrilateral QUAD is a rectangle. Find the value of x. 1. DU = 26, QP = 2X + 7

  5. 2. m ∠ 2 = 52, m ∠ 3 =16x - 12

  6. 3. m ∠ 4 = 6x – 16 m ∠ 2 = 2x + 4

  7. 4. DP = 4x + 1 QP = x + 13

  8. 5. m ∠ 3 = 70 – 4x m ∠ 6 = 18x - 8

  9. QRST is a rectangle and QZRC is a parallelogram. • QS = 10, QC = 2x + 1, TC = 3x – 1, Find x.

  10. 2. m ∠TQC = 70. Find m ∠ QZR.

  11. 3. m ∠ RCS = 35. Find m ∠ RTS.

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