Question

In figure, POQ is a straight line. Find the value of x.​

Answer 1

Answer:

x= 110° and y= 110°

Step-by-step explanation:

Exterior angle = Sum of two opposite interior angle

exterior angle ACY = angle BAC + angle ABC

as AC =BC

triangle ABC is an isosceles triangle

so, angle ABC and angle BAC are equal

So angle ABC + angle BAC = 140°

angle ABC + angle ABC =140°  [as angle ABC = angle BAC]

2 × angle ABC = 140°

angle ABC = 140°/2

angle ABC =70°

and angle BAC =70°

y = 180° -  angle BAC

y= 180° - 70°

y = 110°

and x= 180° - angle ABC

x= 180° - 70°

x=110°

Answer 2

Answer:

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Step-by-step explanation:

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