Answer:
Step-by-step explanation:
Remark
The diagonals of a rhombus bisect each other at right angles.
Furthermore <1 and <2 are supplementary and <1 and <3 are equal so z = x (vertically opposite angles).
Formulas
Supplementary formula
x + y + 18x = 180
Right angle formula
x + y = 90
Solution
x + y + 18x = 180
x + y = 90 Subtract these two formulas
18x = 90
x = 5 Use the right angle formula to find y
x + y = 90
5 + y = 90 Subtract 5 from both sides
5-5 + y = 90-5
y = 85
Since x = z then z = 5
Answers
