In the given figure, if ∠ C A D = 150 ∘ and ∠ A B C = 60 ∘ , then reflex ∠ A C B = ___ Options: A . &nbsp1 right angle B . &nbsp2 right angles C . &nbsp3 right angles D . &nbsp4 right angles

Answer: Option C : C ∠ A C B + ∠ A B C = ∠ D A C [Exterior angle property] ∠ A C B + 60 ∘ = 150 ∘ ∠ A C B = 90 ∘ ∴ Reflex ∠ A C B = 360 ∘ − 90 ∘ = 270 ∘ = 3 × 90 ∘ = 3 right angles

In the given figure, if ∠CAD=150∘ and ∠ABC=60∘, then reflex ∠ACB=__

Question

In the given figure, if

∠ C A D = 150^{\circ}

and

∠ A B C = 60^{\circ},

then reflex

∠ A C B =

___

In The Given Figure, If ∠CAD=150∘ And ∠ABC=60∘, Then...

Options:

A . 1 right angle

B . 2 right angles

C . 3 right angles

D . 4 right angles

Answer: Option C
:
C

∠ A C B + ∠ A B C = ∠ D A C

[Exterior angle property]

∠ A C B + 60^{\circ} = 150^{\circ} ∠ A C B = 90^{\circ} ∴ Reflex ∠ A C B = 360^{\circ} - 90^{\circ} = 270^{\circ} = 3 \times 90^{\circ} = 3 right angles

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