Since the triangle on the left has all three angles marked with congruence arcs, it is an equilateral triangle. Therefore, all angles in this triangle are equal and each angle is 60 degrees.
In the second triangle, we know that one of the angles formed by the congruent sides is 100 degrees. Let's call the angle formed by the other two sides y degrees.
Since the angles in a triangle add up to 180 degrees, we can write the equation: 60 + y + 100 = 180.
Simplifying the equation, we have: y + 160 = 180.
Subtracting 160 from both sides, we find: y = 20.
Therefore, the value of x is 20 degrees.
Find the value of x. The triangle on the left has all 3 sides marked with single congruence marks and all 3 angles marked with single congruence arcs. The second triangle shares the right side of the first triangle. A second side at the lower right is marked with a single congruence mark. The angle formed by the two congruent sides is labeled 100 degrees. The angle formed by the two sides that are not adjacent to the first triangle is labeled x degrees. (1 point) Responses 60, 50, 40, 30
1 answer
1 answer