In the given figure- the central angle of arc AXB is 40 and the central angle of arc CYD is 70- Find the angles - CAD and - P DA-A- - CAD -35- - PDA -20-B- - CAD -45- - PDA -20-C- - CAD -35- - P DA -40-D- - CAD -45- - P DA -40-

The correct option is A ∠ CAD = 35^o, ∠ PDA = 20^o∠ PDA = 40/2=20^∘ nbsp; (Angle subtended by an arc at the centre is twice the angle subtended by it at the ...

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Standard X

Mathematics

Angles Subtended by an Arc at the Centre Is Twice the Angle Subtended at the Circumference

In the given ...

Question

In the given figure, the central angle of arc AXB is 40 and the central angle of arc CYD is $70^{\circ}$ .

Find the angles $∠ C A D$ and $∠ P D A$ .

∠ C A D = 35^{o}, ∠ P D A = 20^{o}

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∠ C A D = 45^{o}, ∠ P D A = 20^{o}

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∠ C A D = 35^{o}, ∠ P D A = 40^{o}

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∠ C A D = 45^{o}, ∠ P D A = 40^{o}

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Solution

The correct option is A $∠ C A D = 35^{o}, ∠ P D A = 20^{o}$
$∠ P D A = \frac{40}{2} = 20^{\circ}$ (Angle subtended by an arc at the centre is twice the angle subtended by it at the circumference)

Similarly, $∠ C A D = \frac{70}{2} = 35^{\circ}$

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In the given figure, the central angle of arc AXB is 40 and the central angle of arc CYD is 70∘. Find the angles ∠CAD and ∠PDA.

The correct option is A ∠CAD=35o,∠PDA=20o∠PDA=402=20∘ (Angle subtended by an arc at the centre is twice the angle subtended by it at the circumference) Similarly, ∠CAD=702=35∘

In the given figure, the central angle of arc AXB is 40 and the central angle of arc CYD is $70^{\circ}$ .

Find the angles $∠ C A D$ and $∠ P D A$ .

The correct option is A $∠ C A D = 35^{o}, ∠ P D A = 20^{o}$
$∠ P D A = \frac{40}{2} = 20^{\circ}$ (Angle subtended by an arc at the centre is twice the angle subtended by it at the circumference)

Similarly, $∠ C A D = \frac{70}{2} = 35^{\circ}$