The mangle6 = (11x + 8)° and mangle7 = (12x – 4)° parallel lines x and y are cut by transversal w. on line x where it intersects with line w, 4 angles are created. labeled clockwise, from uppercase left, the angles are: 2, 4, 3, 1. on line y where it intersects with line w, 4 angles are created. labeled clockwise, from uppercase left, the angles are: 6, 8, 7, 5. what is the measure of angle4? mangle4 = 40° mangle4 = 48° mangle4 = 132° mangle4 = 140°

Step-by-step explanation:

Angles 6 and 7 are vertical angles (opposit to each other). Vertical angles are congruent, so

Now,

Angles 6 and 8 are supplementary angles (add up to 180°), so

Angles 8 and 4 are corresponding angles. Corresponding angles are congruent, so

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.