plz solve this question
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the answer to this question is x=50
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Answer:
x=50°
Step-by-step explanation:
It is given that AB is the diameter of the circle and measure of the angle B is 40°.
Now, since AB is the diameter of the circle, then the measure of ∠ACB will be 90° as it is the angle made by the semi circle, therefore its measure is 90°.
Thus, using the angle sum property in ΔABC, we have
∠ACB+∠CBA+∠CAB=180°
⇒90°+40°+x=180°
⇒130°+x=180°
⇒x=180-130
⇒x=50°
Thus, the measure of x will be 50°.
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