Question

Which fact would help you to solve for x in the diagram shown?

A) Angles in an equilateral triangle are congruent.
B) The sum of the interior angles in a quadrilateral is 360°.
C) Alternate interior angles formed by a transversal and parallel lines are congruent.
D) The exterior angle of a triangle is equal to the sum of the two remote interior angles.

Answer 1

the person above me is correct

Answer 2

(A) Angles in equilateral triangle are congruent

Explanation:

From the figure, it can be seen that in triangle ABD,
`AB=BD=AD` which means that all the sides of the triangle are congruent and by the definition of equilateral triangle, ΔABD will be an equilateral triangle.

Therefore, Using the property that Angles in equilateral triangle are congruent, we can find the value of x.

Thus, option A is correct.