Maths / Circles / Angle in a Semicircle

QUESTION
 
In the figure given the measure of large angle ABC is equal to​​​​​​​

 

OPTIONS
A. 

large (2y)^o^

B. 

large (90-y)^o^{}

C. 

large (180-y)^o

D. 

large (90-2y)^o

Right Option : B

EXPLANATION
Explain TypeExplanation Content
Text

In the figure given AB is the diameter as it passes through O

large angle ACB = 90^0

the diameter makes an angle of large 90^0at the circumfrenece

In large Delta ABC, angle A +angle B+angle C =180^0

large y +angle B+90^0 =180^0

large angle B=180^0-90^0 -y=90^0-y

, the measure of large angle ABC = 90^0-y

​​​​​​​

 

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