Question

what is value of y in the given figure
(a) 110 (b) 125 (c) 130 (d) 145​

Answer 1

Step-by-step explanation:

145°=90°+ angle A(exterior angle proper ty)

angle A=145°-90°

angle A=55°

angle A+y=180°(linear pair)

55°+y=180°

y=180°-55°

y=125°

so option b is your answer

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Answer 2

Answer:

we know that the sum of two interior angles is equal to the exterior angle of the opposite angle(exterior angle property).

we have, angle B=90° (right angle)

angle XCY=(angle B+ angle BAC)=145°

thus, 145°=90°+angle BAC

angle BAC=145°-90°

angle BAC=55°

we know that,

angle BAC+angle y=180°(linear pair)

55°+y=180°

y=180°-55°

y=125°

thus, y=125°