Find the measure of the numbered angles in the rhombus. the diagram is not drawn to scale.

choices;
a. m < 1 = 90, m < 2 = 76, and m < 3 = 14
b. m < 1 = 90, m < 2 = 14, and m < 3 = 83
c. m < 1 = 90, m < 2 = 14, and m < 3 = 76
d. m < 1 = 90, m < 2 = 14, and m < 3 = 14

C. , , and

Step-by-step explanation:

We have been given a rhombus. We are asked to find the angles of our given rhombus.

We know that rhombus is a parallelogram, whose all sides are equal.

Since rhombus is parallelogram, so alternate interior angles will be equal. Therefore, measure of angle 2 is 14 degrees.

The diagonals of rhombus are perpendicular bisector of each other, therefore, measure of angle 1 is 90 degrees.

Since diagonals of rhombus are perpendicular bisector of each other, so they divide rhombus into four congruent triangles.

We can find measure of angle 3 using angle sum property.

Therefore, measure of angle 3 is 76 degrees and option C is the correct choice.

29 mil

step-by-step explanation: