Math, asked by fatimajx50, 6 months ago

Find the measure of marked angles
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Answered by Anonymous
0

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°

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