find the value of x.\n\nx = \nsubmit

Answer

Explanation:

Step1: Use the property of a full - circle angle

A full - circle angle is (360^{\circ}). Here, we have a right angle ((90^{\circ})) and another angle (36^{\circ}). The sum of the angles around point (R) is (360^{\circ}). So, ((11x - 12)+90 + 36=180) (since the non - overlapping angles on one side of a straight line sum to (180^{\circ})).

Step2: Simplify the left - hand side of the equation

First, combine the constant terms: (90+36 - 12=114). The equation becomes (11x+114 = 180).

Step3: Solve for (x)

Subtract (114) from both sides of the equation: (11x=180 - 114). So, (11x = 66). Then divide both sides by (11): (x=\frac{66}{11}).

Answer:

(6)