This is a same side interior angle, which means that the two angles, when added, will equal 180°
y + 72 = 180
Isolate the y, subtract 72 from both sides
y + 72 (-72) = 180 (-72)
y = 180 - 72
y = 108
A) 108°, is your answer
hope this helps
Answer:
121
Step-by-step explanation:
The missing number is 121. I got this by doing 764-130-513=121. You would do this because you are trying to find the number that would allow 130 and 513 to add up to 764.
Another way to look at this problem is 513+130= 643
764-643=121
In conclusion, 513+121+130=764
Answer:
A. 15
Step-by-step explanation:
To solve this you need to compare the lengths given to you in the question statement.
Because the lines originate from a single point, they're like triangles. We can easily see a triangle AGF and a triangle ADE, right?
Both triangles are similar triangles, so we can see triangle ADE as a larger version of angle AGF.
They give you the dimension of A F and A E (through A F + F E) to establish a ratio... and they give you A G, asking for A D.
So, A F = 16, A E = 20 (16 + 4), A G = 12.
Since A D is to A G what A E is to A F, we can easily make the following cross-multiplication:

So, A D = (A G * A E)/A F
A D = (12 * 20) / 16 = 15