Intersects triangle ABC at points X and Y, as shown below. If m∠AYZ = 119°, m∠WXB = 67°, and m∠ACB = 70°, what is the measure of ∠ABC?

Record your answer on your answer document on the griddable.

9514 1404 393

  ∠ABC = 58°

Step-by-step explanation:

Angle A is the difference between exterior angle AYZ and remote interior angle AXY of triangle AXY. Interior angle AXY is congruent with its vertical angle WXB, so we have ...

  angle A = 119° -67° = 52°

Of course, the sum of angles A, B and C is 180°, so we have ...

  ∠ABC +∠ACB +∠A = 180°

  ∠ABC = 180° -52° -70°

  ∠ABC = 58°