Question

Did the first one need help with the last few

Answer 1

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a) (ii) The two angles are vertical angles, so they are congruent.

b)(i) y = 71°

  (ii) The two angles are alternate interior angles, so they are congruent.

c) z = 44°

(ii) m∠x = 65° because the two angles are vertical angles, so they are congruent.

b) (i)

∠y is an alternate interior angle, therefore:

m∠y = 71°

c) Use the sum of interior angles of a triangle to determine the measure of angle z:

180 = 65 + 71 + z

180 = 136 + z

180 - 136 = z

z = 44°.