What type of question is this
<u>Finding x:</u>
We know that the diagonals of a rhombus bisect its angles
So, since US is a diagonal of the given rhombus:
∠RUS = ∠TUS
10x - 23 = 3x + 19 [replacing the given values of the angles]
7x - 23 = 19 [subtracting 3x from both sides]
7x = 42 [adding 23 on both sides]
x = 6 [dividing both sides by 7]
<u>Finding ∠RUT:</u>
We can see that:
∠RUT = ∠RUS + ∠TUS
<em>Since we are given the values of ∠RUS and ∠TUS:</em>
∠RUT = (10x - 23) + (3x + 19)
∠RUT = 13x - 4
<em>We know that x = 6:</em>
∠RUT = 13(6)- 4
∠RUT = 74°
$616 because 550 times .12(12% as decminal) is 66. $66 plus $550 is $616
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions. the statement "<span>a pair of straight angles can also be adjacent angles" is true
</span>There are some special relationships between "pairs<span>" of </span>angles<span>. </span>Adjacent Angles<span> are two </span>angles<span> that share a common vertex, a common side, and no common interior points. (They share a vertex and side, but do not overlap.) A Linear </span>Pair<span> is two </span>adjacent angles<span>whose non-common sides form opposite rays.</span>
