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find ( mangle h ) in rhombus ( fghi ). ( mangle h = square^circ )

Question

find ( mangle h ) in rhombus ( fghi ).
( mangle h = square^circ )

Explanation:

Step1: Use rhombus consecutive angle property

Consecutive angles in a rhombus are supplementary, so $2v + v = 180^\circ$

Step2: Solve for $v$

$3v = 180^\circ$
$v = \frac{180^\circ}{3} = 60^\circ$

Step3: Calculate $m\angle H$

Substitute $v$ into $2v$: $m\angle H = 2 \times 60^\circ$

Answer:

$120^\circ$