Answer:
a) 30°, 30°
Explanation:
Let's denote the equal angles in the triangle as x degrees each.
Given:
One angle = 120 degrees
Two angles are equal = x degrees each
In a triangle, the sum of all angles is always 180 degrees. So, we can set up an equation:
120 degrees (given angle) + x degrees (equal angle) + x degrees (equal angle) = 180 degrees
Now, solve for x:
120 degrees + 2x degrees = 180 degrees
Subtract 120 degrees from both sides:
2x degrees = 180 degrees - 120 degrees
2x degrees = 60 degrees
Now, divide both sides by 2 to find the value of x:
x degrees = 60 degrees / 2
x degrees = 30 degrees
So, each of the equal angles in the triangle measures 30 degrees.
The correct answer is option (a) 30°, 30°.