Mathematics
Grade9
Easy

Question

The measure of angle A Y C is _____.

  1. 50°
  2. 130°
  3. 150°
  4. 30°

hintHint:

In this question we have to find the mentioned angle. For this we know that SB is parallel to TQ and DR is the transversal So with the help of corresponding angles we can find angle WZQ then DR is parallel to PC so again with corresponding angles we can get angle PXZ Now TQ is parallel to AU so with the help of alternate exterior angles we can get angle AYC.

The correct answer is: 50°


    The measure of angle A Y C is _50degree____.

    APQ,
    SB is parallel to TQ, DR is the transversal.
    So, angle D W B equals angle W Z Q equals 50 degree( corresponding angles)
    Again, DR is parallel to PC, TQ is the transversal.
    So, angle W Z Q equals angle P X Z equals 50 degree(corresponding angles)
    TQ is parallel to AU, PC is the transversal.
    angle P X Z equals angle A Y C equals 50 degree(alternate exterior angle)

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