Which statement is not true of an isosceles triangle?

a. the measure of a base angle and the measure of its vertex angle can never be equal.

b. it has a base that is opposite a vertex angle.

c. the sides opposite its base angles are congruent.

d. the angles opposite its legs are congruent.

Solve the problem by using a venn diagram a group of students were surveyed about their taste in music.they were asked how they like three types of music: rock, country western and jazz.the results are summarized below: no one dislikes all three types of music.six like all three types of music.eleven don’t like country western.sixteen like jazz.three like country western and jazz, but not rock.six don’t like rock.eight like rock and country western.seven don’t like jazz.how many students were surveyed?