The sun of two angles of a quadrilateral is 150 and the other angle are in ratio2:3 find the measure of each angle
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Answer:
angle A =54
B=96, C=84
D=126
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Step-by-step explanation:
Let the two angles be 2x and 3x
And the sum of two angles of a quadrilateral is 150.
Total sum angle of a quadrilateral is 360°
2x + 3x + 150 = 360
5x = 360 - 150
5x = 210
x = 210 ÷ 5
x = 42
2x = 2 × 42 = 84
3x = 3 × 42 = 126
The sum of corresponding angle of quadrilateral is 180
180 - 150 = 30
150 - 30 = 120
The angles are 84, 126, 120 and 30.
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