Question

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Answer 1

Answer:60 degree

Step-by-step explanation:

because it is an equilateral triangle. The linear pair property of angles say that sum of two angles on a line is 180 degree. So 180-120=60,180-12=60 and angle A is also 60 becuase then only it wil fulfill the property of sum of interior angles of a triangle which is always 180 degree.

Answer 2

Answer:

The measure of ∠A is 60°.

Step-by-step explanation:

In the figure,

ΔABC, where ∠B = 120°, ∠C = 120°.

Finding ∠ABC:

⇒ ∠B + ∠ABC = 180°

[Linear pair]

⇒ 120° + ∠ABC = 180°

[∠ABC = 60°]

Similarly,

∠C + ∠ACB = 180°

[linear pair]

⇒ ∠120° + ∠ACB = 180°

[∠ACB = 60°]

Now, In ΔABC,

∠BAC + ∠ABC + ∠ACB = 180°

[Angle sum property]

⇒ x° + 60° + 60° = 180°

⇒ x° + 120° = 180°

[∠A = 60°]

∴ The measure of ∠A is 60°.