The measure of [x] in the triangle will be 61°.
In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is a triangle as shown in the image attached.
The given triangle is a isosceles triangle. So, we can write -
[x] + [x] + 58 = 180
2x + 58 = 180
2x = 122
x = 61
Therefore, the measure of [x] in the triangle will be 61°.
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