Final answer:
The measures of the other two angles are 10° and 12°
Step-by-step explanation:
The sum of the angles in a triangle is always 180°. So, we can set up the following equation:
158° + x + y = 180°
where x and y are the measures of the other two angles.
The other two angles are in a ratio of 5:6. Let's assign values to x and y based on this ratio. We can choose any multiple of the ratio to get actual angle measures. Let's choose 5x and 6x, where x is a positive number.
Now, substitute the values into the equation:
158° + 5x + 6x = 180°
11x = 22°
x = 2°
So, the measures of the other two angles are 5x = 5(2°) = 10° and 6x = 6(2°) = 12°.
Learn more about Triangle angles