Final answer:
To solve for the exact degree value of angle 1 expressed as (6x+25) degrees, more information is needed about its relationship to angle m4, expressed as (10x-11) degrees. Without additional details, we cannot solve for angle 1. Thus, none of the provided options correspond to the original expression for angle 1.
Step-by-step explanation:
To find angle 1 when given angle 1 as (6x+25) degrees and angle m4 as (10x-11) degrees, we need additional information about how these angles relate to each other. Without such information, such as being complementary, supplementary, or alternate angles, it is impossible to solve for the exact value of angle 1 in terms of degrees. The answer should express angle 1 in the same form it was given, which is in terms of 'x'. However, none of the provided options a) (16x+14) degrees, b) (4x+14) degrees, c) (16x+36) degrees, or d) (4x+36) degrees directly match the original expression for angle 1, which is (6x+25) degrees.