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The angles of a kite ABCD are ∠ $A = x$ , ∠ $C = 2 x$ and ∠ $B$ = ∠ $D = 3 x$ . Find ∠ $B$ .

Class 8Kites and TrapeziumsQuadrilaterals

A40°
B80°
C135°
D120°

Step-by-Step Solution

Angle sum:

x + 3 x + 2 x + 3 x = 9 x = 360

°, so

x = 40

°. ∠

B = 3 \times 40

° = 120°. (40° is

x

itself; 80° is ∠C.)

Answer: D) 120°

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