The values of the variables x, y and z are; 9, 81 and 6 respectively
<h3>Rhombus Diagonals</h3>
According to the question;
- All sides of the Rhombus are equal.
Hence, the Diagonals of the Rhombus are perpendicular bisectors of each other.
Therefore,
Angles 1, 2 and 3 are all equal to 90°, so that we have;
x = 9°
y = 81°
z = 6°
Read more on Rhombus Diagonals;
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Answer:
y = 116
Step-by-step explanation:
The central angle is double any inscribed angle that intercepts the same arc.
Inscribed angle HGF intercepts arc HF, so central angle HOF will be double the value of HGF.
2×58° = 116° = y°
y = 116