Question

Find the value of x in the following figure.​

Answer 1

Answer: x=60 degrees.

I hope this answer is helpful for you.

Answer 2

Answer:

By the above diagram, we can say that that the two distinguishable triangles are isosceles.

And we know that the two angles opposite to the equal sides of an isosceles triangle are equal.

So the sum of the bottom angles are (180 - 30)° = 150°

Now, if we subtract 15° from both corners, we will be left with the sum of the bottom angles of the inner isosceles triangle.

∴ 150 - (15 + 15)° = (150 - 30)° = 120°

∴ The angles are (120/2)° = 60° each.

∴ we can say that the triangle is an equilateral triangle and the angle x is 60°. [all angles of an equilateral triangle measure 60°]

x = 60°