General SAT (College Board) Mathematics: Questions 1 of 311

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Appeared in Year: 2008

Question

MCQ▾

If the average (arithmetic means) of the measures of two non-congruent angles of an isosceles triangle is , which of the following is the measure of one of the angles of the triangle? (January)

Choices

Choice (5) Response
a.
b.
c.
d.
e.

Answer

b.

Explanation

  • Let, triangle ABC be isosceles triangle.
  • From question, the average of the measure of two non – congruent angles is . Therefore, and are non – congruent angles.
  • As we know,
  • From equation (1),
  • Substitute this value of in equation (1),