Question

In the adjoining figure, AB ll CD. Find the value of x ​

Answer 1

Answer:

86

Step-by-step explanation:

please refer image

construct: extend ray CO along ray AB & AO along CD

so ∠OMA = 52 and ∠ONC = 34 (alternate interior angle)

consider triangle AOM

∠AOM = 180 - (34+52) = 94

consider triangle OCN

∠CON = ∠ AOM = 94 (opposite angles)

∠AOC = ∠x

now;

∠AOC + ∠CON + ∠ AOM + ∠x = 360

94 + 94 + x + x = 360

188 + 2x = 360

2x = 360 - 188 = 172

so, x = 86

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