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  4. Show that any angle in a semicircle is a right angle. The following are the steps involved in showing the above result. Arrange them in sequential order. (A) ∴ angle A C B=(180°/2)=90° (B) The angle subtended by an arc at the centre is double of the angle subtended by the same arc at any point on the remaining part of the circle. (C) Let A B be a diameter of a circle with centre D and C be any point on the circle. Join A C and B C. (D) ∴ angle A D B=2 × angle A C B 180°=2 angle A C B(∵ angle A D B=180°)

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Q. Show that any angle in a semicircle is a right angle. The following are the steps involved in showing the above result. Arrange them in sequential order. (A) $\therefore \angle A C B=\frac{180^{\circ}}{2}=90^{\circ}$ (B) The angle subtended by an arc at the centre is double of the angle subtended by the same arc at any point on the remaining part of the circle. (C) Let $A B$ be a diameter of a circle with centre $D$ and $C$ be any point on the circle. Join $A C$ and $B C$. (D) $\therefore \angle A D B=2 \times \angle A C B$ $180^{\circ}=2 \angle A C B\left(\because \angle A D B=180^{\circ}\right)$Mathematics Question Image

Geometry

Solution:

$CBDA$ is the required sequential order.