Hi
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Answer:
Step-by-step explanation:
Find the diagram attached. From the diagram, we can see that;
<USW = <TSR (vertically opposite angles)
Given
<USW = 7x-34
<TSR = 4x+29
Equate
7x-34 = 4x+29
7x-4x = 29+34
3x = 63
x = 63/3
x = 21°
Find <USW
<USW =7x-34
<USW =7(21)-34
<USW = 147-34
<USW = 113°
Hence the measure of <USW is 113°
Your answer would be 24, so you got it right.
This is because you need to find the lowest common multiple of 6 and 8, that is, the lowest number that divides by both 6 and 8.
We can do this by either writing out the multiples of 6 and 8 until you find a common one, or you can find the prime factors of 6 and 8 and multiply them:
6-> 3 × 2
8-> 2 × (4)->2 × 2
So we would need to do 3 × 2 × 2 × 2 = 3 × 8 = 24
I hope this helps!