Question

find ( mangle v ) in rhombus ( uvwx ).
( mangle v = square^circ )

Explanation:

Step1: Adjacent rhombus angles are supplementary.

$7y + (7y - 72^\circ) = 180^\circ$

Step2: Simplify and solve for $y$.

$14y - 72^\circ = 180^\circ$
$14y = 180^\circ + 72^\circ = 252^\circ$
$y = \frac{252^\circ}{14} = 18^\circ$

Step3: Find $m\angle X$ first.

$m\angle X = 7y = 7\times18^\circ = 126^\circ$

Step4: Opposite rhombus angles are equal.

$m\angle V = m\angle X$

Answer:

$126$