find 'x' in the following figures
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Answer:
The value of x is 20°.
Step-by-step explanation:
AOB = ABO = 3x + 10° (Angles opposite to equal sides; given that AB=AO)
AOB = DOC = 3x + 10° (Opposite angles at intersecting lines)
ODC = DOC = 3x + 10° (Angles opposite to equal sides; given that CO=CD)
OCD + DOC + ODC = 180° (Angle sum of a triangle)
=> 2x + 3x + 10° + 3x + 10° = 180°
=> 8x + 20° = 180°
=> x = (180°-20°)/8
=> x = 20°
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