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In the Given Circle with Diameter Ab, Find the Value of X. - Mathematics

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Question

In the given circle with diameter AB, find the value of x.

Sum

Solution

∠ ABD = ∠ ACD = 30°       ....(∠s of same segment)
∠ADB = 90°                       ....(∠ in the semi circle)

In ΔADB,
x° + 90° + 30° = 180°       ....(Sum of all ∠s of triangle)
x° = 180° - 120°
x° = 60°.

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Chapter 15: Circles - Exercise 2

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ICSE Mathematics [English] Class 10
Chapter 15 Circles
Exercise 2 | Q 2
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