Question

find ( mangle t ) in rhombus ( stuv ).
( mangle t = square^circ )

Explanation:

Step1: Recall rhombus consecutive angles property

Consecutive angles in a rhombus are supplementary, so their sum is $180^\circ$.
$$7z + (8z - 8^\circ) = 180^\circ$$

Step2: Simplify and solve for $z$

Combine like terms and isolate $z$.
$$15z - 8^\circ = 180^\circ$$
$$15z = 188^\circ$$
$$z = \frac{188}{15}^\circ$$

Step3: Calculate $m\angle T$

Substitute $z$ into the expression for $\angle T$.
$$m\angle T = 7z = 7\times\frac{188}{15}^\circ = \frac{1316}{15}^\circ \approx 87.73^\circ$$

Answer:

$\frac{1316}{15}$ or approximately $87.73$