Answer:
x = 27 , y = - 17 , z = 62
Explanation:
In a rhombus
• opposite angles are congruent ( equal ) , then
- 4y - 5 = 63 ( add 5 to both sides )
- 4y = 68 ( divide both sides by - 4 )
y = - 17
In a rhombus
• consecutive angles are supplementary ( add to 180° )
Then (4x + 9) and 63 are consecutive angles , so
4x + 9 + 63 = 180 ( simplify left side )
4x + 72 = 180 ( subtract72 from both sides )
4x = 108 ( divide both sides by 4 )
x = 27
also (2z - 7) and 63 are consecutive angles , so
2z - 7 + 63 = 180 ( simplify left side )
2z + 56 = 180 ( subtract 56 from both sides )
2z = 124 ( divide both sides by 2 )
z = 62
solution is x = 27 , y = - 17 , z = 62