Question

In triangle ABC, if the base angles are 30 degrees each and CD is the median to the base, what is the measure of angle A?

a) 60 degrees
b) 90 degrees
c) 120 degrees
d) 150 degrees

Answer 1

In triangle ABC, if the base angles are 30 degrees each and CD is the median to the base, angle A is 60 degrees.

Step-by-step explanation:

In triangle ABC, if the base angles are 30 degrees each and CD is the median to the base, angle A can be found by using the fact that the sum of all angles in a triangle is 180 degrees.

Since the base angles are equal and each measure 30 degrees, the third angle must also be 30 degrees, making triangle ABC an equilateral triangle. In an equilateral triangle, all angles measure 60 degrees, so angle A in this triangle is also 60 degrees.