Question

find x in the following figure : ​

Answer 1

Answer:

x= 70°

Step-by-step explanation:

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Answer 2

Answer :-

• The value of x = 70°.

Step-by-step explanation :-

In the figure, there's a triangle named ABC and ∠ D is an exterior angle which measures 110°.

For finding ∠ B,

As we can see, ∠ D and ∠ B form a Linear Pair,

∠ D (Exterior angle) = 110°.

Two angles which form a Linear Pair are equal to 180°.

Therefore,

$\sf \angle \: B + 110^{\circ} = 180^{\circ}$

$\sf \angle \: B = 180^{\circ} - 110^{\circ}$

$\sf \angle \: B = 70^{\circ}.$

For finding x,

As we can see, ∠ B and ∠ C are equal.

∠ C = x.

In an isosceles triangle, angles opposite equal sides are equal.

That means, the value of ∠ B = the value of ∠ C.

∠ B = 70°.

Therefore, ∠ C = 70°.

Therefore, the value of x = 70°.