Question

Find the value of x, and please use explanation for each answer

Answer 1

Look at picture for explanation

Answer 2

Answer:

24; 118; 102

Step-by-step explanation:

Starting from A: there are two ways. One, is a theorem that says "the amplitude of the external angle of a triangle is equal to the sum of the amplitudes of the two angles not sharing the vertex". Which translates to the equation $62= x+(x+14)$ which has solution $x=24°$.

Problem B is a red herring: x and 118° are corresponding angles related to the two parallel lines with a transversal, and they have the same amplitude, thus $x=118°$

Finally, letter C : you know the sum of the internal angles of a triangle is 180°. It means that $41 + 37 + x = 180$ or, with simple calculations (subtract 41 and 37 from both sides) $x= 102°$