Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9th
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Find the value of x in the given figure. - Mathematics

Sum

Find the value of x in the given figure.

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Solution

∠B = 180° – 120°  .....(Sum of the opposite angles of a quadrilateral are supplementary)

∠B = 60°

∠BCA = 90° ...(Angle in a semicircle)

∠BAC + ∠B + ∠BCA = 180°

x + 60° + 90° = 180°

x + 150° = 180°

x = 180° – 150°

= 30°

The value of x = 30°

Concept: Theorem: Opposite angles of a cyclic quadrilateral are supplementary.
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APPEARS IN

Samacheer Kalvi Mathematics Class 9th Tamil Nadu State Board
Chapter 4 Geometry
Exercise 4.4 | Q 1 | Page 173
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