Question

HONORS INLY:

Answer 1

Answer:

x = 55°

y = 70°

z = 125°

Step-by-step explanation:

Based on the Isosceles triangle theorem, since two sides of the triangle are congruent, therefore, the angles opposite to each of the equal sides are congruent.

Thus:

x = 180° - 125° (angles on a straight line/linear pair)

x = 55°

If x = 55°, the other base angle will also be 55°.

Therefore,

y = 180° - (55° + 55°) (sum of ∆)

y = 70°.

z = x + y (exterior angle of a ∆ theorem)

z = 55° + 70° (substitution)

z = 125°