Question

In the given figure AB and CD are two loni intersecting each other at point 'O'. If COE= 90 find the value of X Y Z

Answer 1

Answer:

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Step-by-step explanation:

We know that sum of all angles on a line is 180

In line AB,  AOC + COE + EOB = 180° (lower part)

2x + 90° + x = 180°

3x+90°=180°

3x=90°

x = 30°

In line CD,  COE + EOB + BOD = 180°

90° + 30°+ y = 180°

120°+y=180°

y = 60°

In line AB,  AOD + BOD = 180° (upper part)

z+60°=180°

z=120°