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if $qt = 2a - 93$ and $st = a - 25$, find the value of $a$ in rhombus $…

Question

if $qt = 2a - 93$ and $st = a - 25$, find the value of $a$ in rhombus $pqrs$.
$a = \square$

Explanation:

Step1: Set segments equal (rhombus diagonals bisect)

$QT = ST$

Step2: Substitute given expressions

$2a - 93 = a - 25$

Step3: Isolate variable $a$

$2a - a = 93 - 25$

Answer:

$68$