Find the angles of a rhombus if three of them add up to 300 degrees.

A rhombus is a parallelogram in which all sides are equal.

Since in a parallelogram the opposite angles are equal, and the sum of the degree measures of the angles adjacent to one side is equal to 180º, then first, you need to find the degree measure of one of the angles.

Since the sum of three of them (suppose, ∠В, ∠С, ∠D) is equal to 300º, and the sum of the degree measures of all angles of the rhombus is 360º, then:

∠А = 360º – 300º = 60º;

∠А = ∠С = 60º.

Now we can calculate the degree measures of the angles ∠В and ∠Д:

∠В = ∠D = (360º – ∠А – ∠С /) / 2;

∠В = ∠D = (360º – 60º – 60º) / 2 = 240º / 2 = 120º.

Answer: ∠А = ∠С = 60º, ∠В = ∠D = 120º.