Draw diagrams illustrating each of the following situation:
(a) Three straight lines which do not pass through a fixed point.
(b) A point and rays emanating from that point such that the angle between any two adjacent rays is an acute angle.
(c) Two angles which are not adjacent angles, but still supplementary.
(d) Three points in the plane which are equidistant from each other.

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Solution

b) $∠ S P Q =$ Acute Angle
$∠ Q P R =$ Acute Angle
$∠ R P T =$ Acute Angle

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b) ∠SPQ= Acute Angle∠QPR= Acute Angle∠RPT= Acute Angle

b) $∠ S P Q =$ Acute Angle
$∠ Q P R =$ Acute Angle
$∠ R P T =$ Acute Angle