Answer:
Explanation:
Let's start with the angle 116. The angle next to it, inside the triangle with the 38 is supplementary to 116; therefore, 180 - 116 = 64. By the triangle angle-sum theorem, the angles inside that triangle have to add up to equal 180; therefore, 180 - 38 - 64 = 78. That's the measure of the angle in the bottom left of the triangle on the right. If that's 78, then the angle next to it, inside the other triangle is supplementary to 78; therefore, 180 - 78 = 102. That triangle's angles have to add up to equal 180 too so 180 - 102 - 43 = 35. That angle, the 35-degree angle, is vertical to x. Therefore, since vertical angles are congruent, x also equals 35 degrees.