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

HELP QUICKLY PLEASE!!!!!!!

Answer 1

we know that

In a parallelogram, opposite angles are congruent and consecutive angles are supplementary

so

In this problem

m∠T=m∠V

m∠U=m∠S

m∠U+m∠V=$180$°

$(4x+9)+(6x-29)=180\\ 10x-20=180\\ 10x=200\\ x=20\ degrees$

m∠U=$(4x+9)$

m∠U=$(4*20+9)$

m∠U=$89$°

m∠V=$(6x-29)$

m∠V=$(6*20-29)$

m∠V=$91$°

m∠T=m∠V=$91$°

therefore

the answer is

angles T and V

Answer 2

The measures of the adjacent angles of a parallelogram add up to be 180 degrees, or they are supplementary.

The angles T and V are equals to 91°.

Given:

The angle $\angle U = (4x + 9)^{\circ}$ and $\angle V = (6x - 29)^{\circ}$

From figure TUVS is a parallelogram. A parallelogram is a quadrilateral with two pairs of parallel sides.

Calculate the angle $\angle U$ and $\angle V$.

$\angle U + \angle V = 180^{\circ}$

Substitute the value.

$4x + 9 + 6x - 29 = 180^{\circ}\\10x - 20 = 180^{\circ}\\10x = 200^{\circ}\\x = 20^{\circ}$

Now, calculate the value of angle U.

$\angle U = (4x + 9)^{\circ} \\\angle U= (4(20) + 9)^{\circ} \\\angle U= 89^{\circ}$

Now, calculate the value of angle V.

$\angle V = (6x - 29)^{\circ} \\\angle V= (6(20) -29)^{\circ} \\\angle V= 91^{\circ}$

The opposite angles of a parallelogram are equal.

$\angle U = \angle S = 89^{\circ}\\\angle V = \angle T = 91^{\circ}$

Therefore, The angles T and V are equals to 91°.

For more information:

https://brainly.com/question/12186483