Luis has a study table. the measure of the angles of a quadrilateral table are x, 2x, 2x + 24 and 3x + 16 degrees. find the measure of each angle? pls answer it
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Step-by-step explanation:
x, 2x, 2x + 24 and 3x + 16 degrees
x + 2x + (2x+24) + (3x+16) = 360°
x + 2x + 2x+24 + 3x+16 = 360°
8x + 40 = 360
8x = 360 - 40
8x = 320
x = 4
x = 40°
2x = 2(40°)
2x = 80°
2x + 24 = 2(40°) + 24
= 80 + 24
2x + 24 = 104°
3x + 16 = 3(40°) + 16
= 120 + 16
3x + 16 = 136°
Checking:
40° + 80° + 104° + 136° = 360°
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