Question - Finding Angle of a Triangle
Solution:
To find the value of $$x$$ in the triangle depicted in the image, we can use the fact that the sum of the angles within a triangle always equals 180 degrees.The triangle in the image has one of its angles labeled 100 degrees and another labeled as $$30$$ degrees. Let's call the third angle, which we are trying to find, $$x$$.We can set up the equation:\[ 100^\circ + 30^\circ + x^\circ = 180^\circ \]Combining the known angles gives us:\[ 130^\circ + x^\circ = 180^\circ \]To solve for $$x$$, we subtract 130 degrees from both sides of the equation:\[ x^\circ = 180^\circ - 130^\circ \]\[ x^\circ = 50^\circ \]So the value of $$x$$ is 50 degrees.
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