How do I do this? Whats the answer?

enter image source here

2 Answers
May 3, 2018

#x^@=97#

Explanation:

Let the angle next to the angle #x^@# be A and the third and final angle inside the triangle be B

So #B=32^@# because it is vertically opposite angles

So #x^@# equals to #35+30+32# because exterior angle is equal to the sum of 2 opposite interior angles

therefore, #x^@=97#

May 3, 2018

#x = 97°#

Explanation:

Let's consider this as #DeltaABC#.

Your given image edited by me.1

The measurement of #/_A# is 35 + 30, or 65 degrees.
The measurement of #/_C# is 32 degrees. We know this because it is a vertical angle to the given 32 degree angle (vertical angles are #~=#)

The exterior angle theorem states that the exterior angle of a given triangle is equal to the non-adjacent angles of the given triangle.

Based on said theorem, #x = /_A + /_C#
#x = 65 + 32#
#x = 97#