Question

Geometry Work Find the values

Answer 1

x = 4°

Z = 71°

Explanation:

Linear pair:

If the non-common arms of two adjacent angles form a straight line, then they are called linear pair and they add up to 180°.

12x + 23 + 15x + 49 = 180°

12x + 15x + 23 + 49 = 180°

Combine like terms,

27x + 72 = 180°

27x = 180 - 72

27x = 108

x = 108 ÷ 27

`\boxed{x = 4^\circ}`

12x + 23 = 12*4 + 23

= 48 + 23

= 71°

Z = 71° {Vertically opposite angles are equal}