Find the angles that are formed at the intersection of two straight lines if the sum of three of the angles formed is 298 °.

then we draw two intersecting lines (a and b)
angles 1,2,3,4 are formed
angle1 + angle2 + angle 3 = 298 degrees
means:
angle 1 = angle 3 (lying crosswise at the secant b (this is a straight line))
angle 2 = angle 4 (crosswise at secant b)
Means:
angle 1 and angle 4 (adjacent)
angle 2 and angle 3 (adjacent)
So angle 2 + angle 3 = 180 degrees
which means that the angle is 1 = 298-180 = 118 degrees
means
angle1 = angle 3 = 118 degrees
and angle 2 = 180-118 = 62 degrees (since angle 2 and 3 are adjacent)
means angle2 = angle 4 = 62 degrees
Answer: angle1 = angle 3 = 118 degrees and angle2 = angle 4 = 62 degrees.



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