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note : figure not drawn to scale in the figure shown , the length of ab…

Question

note : figure not drawn to scale
in the figure shown , the length of ab is 66 . which statement provides sufficient information to prove that triangle abc is isosceles ?
a. the length of bc is 66
b. the length of ac is 33
c. the measure of angle a is 70
d. the sum of the measures of angles a,b and c is 180

Explanation:

Step1: Recall isosceles - triangle definition

An isosceles triangle has two equal - length sides.

Step2: Analyze each option

Option a: Given \(AB = 66\) and \(BC=66\), two sides are equal.
Options b, c, and d do not directly show two equal - length sides.

Answer:

A. the length of BC is 66