Question

move the yellow dots in order to make the segments intersect. let the intersection be called point o. make the lines intersect in such a way that ∠kon is an obtuse angle less than 135°. afterwards, use the protractor to determine the precise measure of all four angles. you should redraw the lines if ∠kon is not the proper size. move the line segments to intersect at o ∠kon should be an obtuse angle less than 135° done moving lines

Explanation:

Step1: Move the yellow dots (M, K, L, N) to position the lines so they intersect at point O. Ensure the angle ∠KON is obtuse (greater than 90°) and less than 135°.

Visually adjust the lines by dragging the yellow points until they cross at O with the correct angle range.

Step2: Use a protractor to measure ∠KON. Let's say we measure ∠KON = 120° (an example within the range).

Since vertical angles are equal and adjacent angles are supplementary:

• ∠KON and ∠MOL are vertical angles, so ∠MOL = 120°.
• ∠KOM and ∠NOL are adjacent to ∠KON. So ∠KOM = 180° - 120° = 60°, and ∠NOL = 60° (vertical angles of ∠KOM).

(Note: The actual measurement depends on the drawn intersection. This is a sample calculation.)

Answer:

(Example) ∠KON = 120°, ∠MOL = 120°, ∠KOM = 60°, ∠NOL = 60° (Actual values depend on the precise intersection after moving the lines and measuring with a protractor.)