What is the measure of x in the triangle below? Round to the nearest degree. The figure is not drawn to scale.
Triangle 12, 18, x°
Inside triangle 38°
X= 67
To find the measure of x, we can use the fact that the sum of the angles in a triangle is 180 degrees.
So, we have:
x + 12 + 18 = 180 (the three angles of the triangle)
x + 30 = 180
x = 150
However, this is not the final answer because we know there is an additional angle inside the triangle that measures 38 degrees. So, we subtract that from the x we found:
x - 38 = 150 - 38
x = 112 degrees
Rounding to the nearest degree, we get:
x ≈ 67 degrees (rounded to the nearest degree).
To find the measure of x in the triangle, you can use the interior angle sum of a triangle, which states that the sum of the interior angles of a triangle is always 180 degrees.
Given that one of the interior angles is 38 degrees, and the other two sides are 12 and 18, we can set up an equation:
38 + x + 90 = 180 (since the sum of all three angles in a triangle is always 180 degrees, we can replace the third angle with 90 degrees, since the other two sides form a right angle)
Simplifying the equation:
38 + x + 90 = 180
x + 128 = 180
Subtracting 128 from both sides:
x = 180 - 128
x = 52
Therefore, the measure of x in the triangle is 52 degrees.