Question

a rhombus has interior angle measures of 104°, 104°, 76° and x degrees. find the measure of angle x in the rhombus. enter only the number of degrees in the answer box. angle x measures______degrees. the solution is

Explanation:

Step1: Recall the sum of interior angles of a quadrilateral

The sum of the interior angles of a quadrilateral is \((4 - 2)\times180^{\circ}=360^{\circ}\).

Step2: Set up the equation

We know the angles are \(104^{\circ},104^{\circ},76^{\circ},X\). So, \(104 + 104+76 + X=360\).

Step3: Simplify the left - hand side of the equation

First, \(104 + 104+76=284\). Then the equation becomes \(284+X = 360\).

Step4: Solve for \(X\)

Subtract 284 from both sides: \(X=360 - 284\).

Answer:

76