The angles opposite the congruent sides of an isosceles triangle are congruent. Find the value of x in the triangle. Show all your work.
3 answers
Without a diagram or more information about the triangle, it is impossible to determine the value of x. Please provide additional information or a diagram.
its a triangle at the top there is a x and on the left there bottom its 70
Assuming you are referring to the angle opposite the side with length x is 70 degrees, and the triangle is isosceles, then the other angle opposite the other congruent side is also 70 degrees.
To see why this is true, imagine drawing an altitude from the top vertex (where x is located) to the base of the triangle (the side opposite the 70 degree angle). This will split the isosceles triangle into two congruent right triangles, where the angle opposite the 70 degree base is 20 degrees in each triangle. Therefore, the remaining angle in each triangle must be 70 degrees, making the angle opposite x also 70 degrees.
So the value of x is still unknown.
To see why this is true, imagine drawing an altitude from the top vertex (where x is located) to the base of the triangle (the side opposite the 70 degree angle). This will split the isosceles triangle into two congruent right triangles, where the angle opposite the 70 degree base is 20 degrees in each triangle. Therefore, the remaining angle in each triangle must be 70 degrees, making the angle opposite x also 70 degrees.
So the value of x is still unknown.
104 answers