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A triangle has 2 congruent sides. The angle between the 2 congruent sides is labeled x. The angles opposite of the 2 congruent sides each measure 65 degrees.
Find the measure of x in the triangle. Show all your work. it is about angles
Since the two angles opposite the congruent sides measure 65 degrees each, the sum of the angles in the triangle must be 180 degrees.
Therefore, x + 65 + 65 = 180
Solving for x, we get x = 180 - 130 = 50 degrees
pleses help
50 deg is correct.
To find the measure of angle x in the triangle, we can use the fact that the sum of the angles in a triangle is always 180 degrees.
First, let's label the angle opposite to x as angle A and the other two angles as B and C.
Given:
Angle B = 65 degrees
Angle C = 65 degrees
We know that the sum of the angles in a triangle is 180 degrees:
Angle A + Angle B + Angle C = 180 degrees
Substituting the given values:
Angle A + 65 degrees + 65 degrees = 180 degrees
Simplifying the equation:
Angle A + 130 degrees = 180 degrees
Now, let's solve for Angle A:
Angle A = 180 degrees - 130 degrees
Angle A = 50 degrees
So, the measure of angle x (Angle A) in the triangle is 50 degrees.