Question

Given that RSTV is a rhombus and m angle 3=55 find the measure of the following angles

Answer 1

To find the measure of the angles in a rhombus, we can use the properties of opposite angles in a rhombus. In a rhombus, opposite angles are congruent. Since angle 3 is given as 55 degrees, we can conclude that angle 4 is also 55 degrees. Now, we can use the fact that the sum of the angles in a rhombus is 360 degrees to find the measure of angle 1 and angle 2.

Step-by-step explanation:

To find the measure of the angles in a rhombus, we can use the properties of opposite angles in a rhombus. In a rhombus, opposite angles are congruent. Since angle 3 is given as 55 degrees, we can conclude that angle 4 is also 55 degrees. Now, we can use the fact that the sum of the angles in a rhombus is 360 degrees to find the measure of angle 1 and angle 2.

Angle 1 + Angle 2 + Angle 3 + Angle 4 = 360 degrees

Angle 1 + Angle 2 + 55 + 55 = 360 degrees

Angle 1 + Angle 2 = 360 - 110 = 250 degrees

So, the measure of angle 1 and angle 2 is 250 degrees each.