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In an isosceles triangle, the vertex angle is 40°. What are the measures of the base angles?

  • A.40°, 100°
  • B.50°, 90°
  • C.60°, 80°
  • D.70°, 70°

Answer: D

The base angles of an isosceles triangle are equal, and all three add to 180°.

\[ 2b = 180 - 40 = 140 \quad\Longrightarrow\quad b = 70^{\circ} \]

So the base angles are 70° and 70°.

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