Question

figure tuvs is a parallelogram. which angles equal 91°? angles t and v angles s and u angles u and v angles s and t (4x + 9)° (6x - 29)°

Explanation:

Answer:

In a parallelogram, opposite - angles are equal.
First, we set up the equation based on the property that adjacent angles in a parallelogram are supplementary (\(4x + 9+6x - 29=180\)).
Combining like - terms gives \(10x-20 = 180\).
Adding 20 to both sides: \(10x=200\), so \(x = 20\).
Then, angle \(U=4x + 9=4\times20 + 9=80 + 9=89^{\circ}\) and angle \(V=6x - 29=6\times20-29=120 - 29 = 91^{\circ}\).
Since opposite angles are equal in a parallelogram, angle \(T=\) angle \(V = 91^{\circ}\).
The answer is angles T and V.