General SAT (College Board) Mathematics: Questions 1 of 101
» Angles, Arc Lengths, and Trig Functions
Appeared in Year: 2008
MCQ▾
Question
If the average (arithmetic means) of the measures of two noncongruent 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),