5. The measures of the angles of a triangle are in the extended ratio 17 colon 16 colon 12. Which is the measure of the largest angle? (1 point)

34°
45°
48°
68°

Question

5.   The measures of the angles of a triangle are in the extended ratio 17 colon 16 colon 12. Which is the measure of the largest angle?    (1 point)
	
        34°
	45°
	48°
	68°

togundeji · Answer

@aveline can you help in this one?

aveline · Answer

17x+16x+12x=180 degrees
45x=180 degrees
x=4 degrees

Therefore, the largest angle is 17x=17*4=68 degrees

togundeji · Answer

Thank you! Can you explain a little more?

togundeji · Answer

@aveline

aveline · Answer

Yeah

aveline · Answer

We know that all triangles have a total of 180 degrees. We know that our angle measures are 17:16:12, or 17x, 16x, and 12x. To find the value of x, we set the total of all the angles to 180:
17x+16x+12x=180
45x=180
x=4 degrees

Now we have the value of x, so we can find all of the angles of the triangle.
12(4)=48 degrees
16(4)=64 degrees
17(4)=68 degrees
We can double check our answer:
48+64+68=180 degrees

togundeji · Answer

ohhh okay I see!

togundeji · Answer

THANK YOU! lo! l I'll try and do the next problem on my own, and if I don't get it STILL I'll ask for help.