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 $\large 90^0$at the circumfreneceIn $\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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