Step 1
Given;

Required; To find the similarity postulate or theorem that applies.
Step 2
Both triangles share one side AG
They also have a common angle;

Side AG = 10 units and ∠AGT ≅ ∠AGB.
Thus, options A and B are discarded.
Step 3
Now, as for the SAS criteria, we need two sides to be congruent and their included angles to be congruent.
But, as no other information is given, we cannot determine whether the given triangles are congruent or not.
Therefore, the answer is; Option D
<h2> <u>Explanation</u><u>:</u></h2>








By first equation,

























Therefore, the values of x and y are -8/9 and 112/36 respectively.
Answer:
Step-by-step explanation:
Sweet. Get to answer finally. I was the guy commenting on your other post.
1. 72
2. 46
3. 99
4. Same side interior angles are supplementary
5. alternate interior angles are equal to each other so set up the x expressions equal to each other. 5x-7=3x+17. Solve for x
5x-7=3x+17
2x=24
x=12
plug it in for the 5x-7 and get an angle.. 5(12)-7
60-7
53.
The 5x-7 and the 4y+3 is supplementary.
so 53+3+4y=180. combine the 2 and set them equal to 180 to find y
56+4y=180
124=4y
y=31
And now we find the angle of 6. We know that corresponding angles are equal and the y expression and angle 6 are corresponding angles
so plug in your answer for y in the expression..
4(31)+3 = 127.
so angle 6 is 127
5x2 would be 10 and 10-50x would be negative 40x and 40x + 125 would be 165x