Answer:
29 degrees
Step-by-step explanation:
Let the measure of each of the two congruent angles be x.
The sum of the measures of the angles of a triangle is 180 degrees.
x + x + 122 = 180
2x + 122 = 180
2x = 58
x = 29
Answer: 29 degrees
The measure of the congruent angles is 29 degrees.
The triangle angle sum property states that the sum of the angles of the triangle will always be 180 degrees. This means that when each interior angle is added, the sum is 180 degrees.
It is given that measure of one angle of a triangle is 122 degrees. The measure of the other two angles of the same triangle is said to be congruent.
This means that the other two angles are equal.
We know that the sum of the internal angles of a triangle is 180 degrees.
Let the measure of the unknown angles be x. The value of x can be found as shown below:
122 + 2x = 180 degrees
2x = 180 - 122 degrees
2x = 58 degrees
x = 29 degrees
Therefore, we have found that the measure of the congruent angles is 29 degrees.
Learn more about the triangle angle sum property here: https://brainly.com/question/22262639
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