In the given figure, AB is the diameter of the circle and the points C and D are on the circumference. $∠ C A D = 30^{\circ}$ and $∠ C B A = 70^{\circ}$ . What is the measure of $∠ A C D$ ?

40^{\circ}

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50^{\circ}

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30^{\circ}

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90^{\circ}

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Solution

The correct option is A $40^{\circ}$
Option (A) is correct option. Check the video for the approach.

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Similar questions

Q. In the given figure, AB is a diameter of the circle and points C and D are on the circumference such that

∠ C A D = 30^{o}

and

∠ C B A = 70^{o}

what is the measure of

∠ A C D

In the given figure, AOB is a diameter of a circle and CD||AB. If $∠ B A D = 30^{\circ} t h e n ∠ C A D = ?$

(a) $30^{\circ}$

(b) $60^{\circ}$

(d) $50^{\circ}$

Q. In the following figure, O is the center of the circle and AB is a diameter. C and D are points on the circumference of the circle such that

∠ C A B = 35^{0}

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∠ A B D = 55^{0}

, then the measures of angles CAD and CBD are

Q. In the given figure, AOB is a diameter of a circle and CD || AB. If ∠BAD = 30°, then ∠CAD = ?
(a) 30°
(b) 60°
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(d) 50°

In the given figure, AB is a diameter and AC is a chord of the circle and the tangent at C intersects AB produced in D. If $∠ B A C = 30^{\circ}$ , then $∠ A C D =$ ______.

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In the given figure, AB is the diameter of the circle and the points C and D are on the circumference. ∠CAD=30∘ and ∠CBA=70∘. What is the measure of ∠ACD?

The correct option is A 40∘Option (A) is correct option. Check the video for the approach.

In the given figure, AB is the diameter of the circle and the points C and D are on the circumference. $∠ C A D = 30^{\circ}$ and $∠ C B A = 70^{\circ}$ . What is the measure of $∠ A C D$ ?

The correct option is A $40^{\circ}$
Option (A) is correct option. Check the video for the approach.