Final answer:
To find the values of the other two angles in a pentagon, subtract the sum of the known angles from 540 degrees. Solve the resulting equation to find the value of x. substitute x back into the equation to find the values of the other two angles to be 80 and 120 degrees.
Step-by-step explanation:
To find the values of the other two angles in the pentagon, we first need to find the sum of all the angles in a pentagon. A pentagon has 5 sides, so the sum of all its angles is (5-2) * 180 = 540 degrees.
Given that three of the angles are 110°, 100°, and 130°, we can find the values of the other two angles by subtracting their sum from 540 degrees.
Let the values of the other two angles be 2x and 3x. So, the equation becomes 110 + 100 + 130 + 2x + 3x = 540.
Combining like terms, we get 340 + 5x = 540.
Solving for x, we get x = 40.
Substituting x back into the equation, we find the values of the other two angles to be 2x = 80 degrees and 3x = 120 degrees.