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Question
move the yellow dots in order to make the segments intersect. let the intersection be called point n. make the lines intersect in such a way that ∠jnl is an obtuse angle greater than 135°. afterwards, use the protractor to determine the precise measure of all four angles. you should redraw the lines if ∠jnl is not the proper size. move the line segments to intersect at n ∠jnl should be an obtuse angle greater than 135° done moving lines
Step1: Adjust line positions
Move the yellow dots (endpoints of the segments, like K, J and M, L) so that the two line segments intersect at a point N. The goal is to have the angle ∠JNL be obtuse (greater than 90°) and specifically greater than 135°. Visually, this means the two lines should meet such that the opening between J - N - L is wide, more than a right angle plus a 45° angle.
Step2: Verify with protractor
After moving the lines to intersect at N, use a protractor to measure ∠JNL. If it is greater than 135°, check the vertical and adjacent angles (since intersecting lines form vertical angles and linear pairs). The vertical angle to ∠JNL will be equal, and the adjacent angles will be supplementary (sum to 180°) with ∠JNL. If ∠JNL is not greater than 135°, re - adjust the line positions and repeat the measurement.
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(The process involves moving the line segments to intersect at N with ∠JNL > 135°, then measuring angles. The final answer depends on the actual measurement after correct adjustment, but the key is achieving the intersection with the specified angle condition.)