Question

Find the measure of angle ∠x in each of the given values. 122 degrees, 166 degrees, x degrees, 132 degrees, 149 degrees, 96 degrees.

please answer

Answer 1

x = 55.

• When two rays are united at a common point, an angle is created. The two rays are referred to as the arms of the angle, while the common point is referred to as the node or vertex. The symbol "∠" stands for the angle. The Latin word "Angulus" is where the word "angle" originated.
• Typically, an angle is measured with a protractor and expressed in degrees. Angles of 30°, 45°, 60°, 90°, and 180° are shown here. The many types of angles are determined by the angles' degrees values.
• The construction of an angle is a type of geometric shape made by connecting two rays at their termini. Three letters that make up the shape of the angle can alternatively be used to symbolise the angle, with the middle letter indicating the location of the angle (i.e.its vertex).

Here, according to the given information, we are given that,

The angles are, 122 degrees, 166 degrees, x degrees, 132 degrees, 149 degrees, 96 degrees.

Now, the total sum of angles of a hexagon is 720 degrees.

Then, x = 720 - (122 + 166 + 132 + 149 + 96) = 55 degrees.

Hence, x = 55.

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