Find the measure of marked angles
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Answers
Angle C = 143° ( vertically opposite angles )
Angle D + Angle C = 180°
Angle D + 143° = 180°
Angle D = 37°
Angle D = Angle E and Angle E = Angle K ( alternate interior angles )
Therefore, Angle D = Angle E = Angle K = 37°
Angle F + 85° + Angle K = 180°
Angle F + 85° + 37° = 180°
Angle F = 58°
Angle L + Angle K + 90° = 180° ( angle sum property of triangle )
Angle L + 37° + 90° = 180°
Angle L = 53°
Angle J + 48° + 48° = 180° ( angle sum property of triangle )
Angle J = 84°
Angle J + Angle H = 180°
84° + Angle H = 180°
Angle H = 96°
Angle F + 48° + ( Angle G + 48° ) = 180° ( angle sum property of triangle )
58° + 48° + 48° + Angle G = 180°
Angle G = 26°
Angle G + 85° + blue colour angle ( near angle B ) = 180° ( angle sum property of triangle )
26° + 85° + blue colour angle = 180°
blue colour angle = 69°
Angle B + blue colour angle = 180°
Angle B + 69° = 180°
Angle B = 111°
Angle A + Angle B + Angle C + Angle E = 360°
Angle A + 111° + 143° + 37° = 360°
Angle A = 69°
Angle A = 69°
Angle B = 111°
Angle C = 143°
Angle D = 37°
Angle E = 37°
Angle F = 58°
Angle G = 26°
Angle H = 96°
Angle J = 84°