Question

Any help is appreciated.

Answer 1

Explanation:

Hey there!

Now, let's look into figure.

angle ACB = 65° { Base angle of triangle ABC}

angle ACB + angle BAC + angle ABC = 180°

65° + 65° + angle ABC = 180°

angle ABC = 180°-130°

Therefore, angle 50°

angle EBD = 50° ( Vertically opposite angle)

Now;

angle EBD= angle DEB = 50° ( Base angle of triangle BDE )

angle BDE + angle DEB + angle EBD = 180° ( Sum of interior angle)

angle BDE = 180° -100°

Therefore, angle BDE = 80°.

Now, 80° + 14x + 2 = 180° { being linear pair}

14x = 180°-82°

14x = 98°

`x = (98)/(14)`

X = 7°

Hope it helps......