Question

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

Answer 1

Look at picture for explanation

Answer 2

24; 118; 102

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°`