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"Find the value of 'x' in the triangle by setting up an equation that represents finding interior angles of any triangle."

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Final answer:

To find the value of an unknown angle 'x' in a triangle, you'll need to know that the sum of interior angles of any triangle is 180 degrees. If other two angles are given as 60 and 50, substitute them into the equation x + y + z = 180, which simplifies to x = 70 degrees.

Step-by-step explanation:

In the realm of Mathematics, Geometry specifically, the sum of the interior angles in any triangle is 180 degrees. So, if you are given a triangle and you know two of its angles, you can use this knowledge to find the unknown angle. If the angles of the triangle are represented as x (the unknown angle), y, and z, you can form this equation: x + y + z = 180.

For example, if given a triangle where one angle measures 60 degrees and another measures 50 degrees, you substitute those values into the equation, giving: x + 60 + 50 = 180, which simplifies to x + 110 = 180.

To solve for x, you subtract 110 from both sides, producing the equation x = 180 - 110. This results in x being 70 degrees, which is the measurement of the unknown angle.

Learn more about Interior angles of a triangle

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