Question

In the figure find the value of x​

Answer 1

✽ Question ✽

In the figure find the value of x.

✽ To find ✽

The value of x.

✽ Rule ✽

In a triangle, the measure of a exterior angle is equal to the sum of its two opposite interior angles.

✽ Solution ✽

In the given figure,

• ∠ BAC = 70°
• ∠ ABC = x°
• ∠ ACD = 120°

Here, ∠ ACD is the exterior angle, and ∠ BAC and ∠ ABC are the interior angles opposite to ∠ ACD ( exterior angle).

According to condition,

x + 70 = 120

→ x = 120 - 70

→ x = 50

✽ Hence ✽

x = 50

✽ Therefore ✽

The value of x in the given figure is 50.

So, the correct option is (c) 50.

Hope this helps you.