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Angles Growth Post-Assessment Review

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  • Which postulate/theorem would be sufficient to prove Δ ACB ≅ Δ DCE?
    ASA (Angle - Side - Angle)
  • Given the following circle, what is the measure of ∠DEN?
    2(8x+10)+2(2x) ; x = 17 ; DEN = 8(17) + 10 = 147
  • In the two triangles below, what value of x would make the triangles congruent?
    x = 3
  • What is the measure of each exterior angle a regular pentagon?
    72 degrees
  • Which best describes ∠1 and ∠5 in the following figure?
    Corresponding Angles
  • What is the angle relationship between ∠ABC and ∠ECB?
    Alternate Interior Angles
  • What additional information is required in order to prove Triangle IJH is congruent to Triangle DEC using the Side-Angle-Side (SAS) Theorem?
    IH ≅ DC
  • Which value of x will show that lines p and m are parallel?
    6x+22 = 154 ; x = 22
  • A man flies a kite with a 100 foot string. The angle of elevation of the string is 52°. How high off the ground is the kite?
    78.8
  • In circle C with m∠BED=15, find the m∠BCD.
    2*15 = 30
  • Given: Δ MTR ~ Δ ABQ and m∠Q is 37°. What is the measure of ∠ M?
    53 degrees
  • If a || b and m ∠7 = 73°, what is the m ∠6?
    180 - 73 = 107
  • If Δ MTR ≅ Δ QBA , what is the measure of ∠A ?
    68 degrees
  • For what value of x will lines m and n be parallel?
    (x+15) + (3x-35) = 180 ; x = 50
  • What is the value of x in the trapezoid below?
    2x+3x+4x+90=360 ; x = 30
  • What is the sum of the measures of the interior angles of a convex octagon?
    (8-2)*180 = 1080