2.  Find the measures of the angles made by the intersecting lines at the vertices of an equilateral triangle.

Answers (1)
S Sanket Gandhi

We know that the sides of the equilateral triangle are equal.

Consider an equilateral triangle ABC.

Then                   \angle A\ =\angle B\ =\ \angle C

So,                      \angle A\ +\angle B\ +\ \angle C\ =\ 180^{\circ}

or                                                   3\angle A\ =\ 180^{\circ}

or                                                     \angle A\ =\ 60^{\circ}

Hence angles of an equilateral triangle are 60^{\circ}.