The red arrows mean the lines are parallel. Since all angles are equal, the larger triangle is similar to the smaller one. Then corresponding sides have the same ratio
(4x -2)/9 = (3x+2)/12
x(4/9 -3/12) = (2/12) +(2/9)
x = (7/18)/(7/36) = 2 . . . . . . . . . corresponding to the 3rd selection
Step-by-step explanation:
x + 107 + 34 = 180
x + 141 = 180
x. = 180 - 141
x = 39
the above method can be used if the angles are the interior angles of triangle or for all angles in a straight line .
The answer is d, hope this helps
So this is a right triangle so you can use sin, cosine, or tangent. for A, you have the sides opposite and hypotenuse, which means you use sin*
sin(A) = opposite / hypotenuse
sin(A) = 56 / 75
arcsin(56/75) = A
A= about 48.3
so to the nearest degree, your answer is 48
*soh cah toa (if you dont know what that is, i can explain it)