Q6 of 46 Page 284

In right angle is at Y, YZ = x and XZ = 2x then determine ∠YXZ and ∠YZX.

We have


With given values, YZ = x and XZ = 2x, we can find out both angles.


For ∠YXZ:


Let ∠YXZ = θ, then



⇒


⇒


⇒ θ = sin-1(1/2)


⇒ θ = 30° [∵, sin 30° = 1/2]


For ∠YZX = α, then



⇒


⇒


⇒ α = cos-1(1/2)


⇒ α = 60° [∵, cos 60° = 1/2]


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