Question

find ( mangle t ) in rhombus qrst.
( mangle t=square^{circ} )

Explanation:

Step1: Use the property of adjacent angles in a rhombus

In a rhombus, adjacent angles are supplementary. So, \((10b - 34)+(7b - 7)=180\).

Step2: Solve the equation for \(b\)

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Step3: Find \(m\angle T\)

Since \(m\angle T\) and \(\angle Q\) are adjacent angles in a rhombus. First, find \(m\angle Q=7b - 7\). Substitute \(b = 13\) into \(7b-7\), we get \(7\times13-7=91 - 7=84\). Then, because adjacent angles in a rhombus are supplementary, \(m\angle T=180-(7b - 7)\). Substitute \(b = 13\), \(m\angle T=180 - 84=96\)

Answer:

\(96\)