Assuming that point s is the vertex of the angle and that line sq is between angle psr. We can get the correct measurement of angle psq by subtracting 99 degrees with the measurement of the angle made by qsr. Hope this helps. Have a nice day.
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Answer: x = 9</h3>
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Explanation:
The smaller angles HGE and EGF combine to form the largest angle HGF.
This is an example of the angle addition postulate.
(angle HGE) + (angle EGF) = angle HGF
(3x+11) + (110) = 16x+4
3x+121 = 16x+4
121-4 = 16x-3x
117 = 13x
13x = 117
x = 117/13
x = 9 which is the final answer
We can stop here.
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Extra info (optional section)
Use this x value to find each angle shown below
- angle HGE = 3x+11 = 3*9+11 = 27+11 = 38 degrees
- angle HGF = 16x+4 = 16*9+4 = 144+4 = 148 degrees
Then notice how,
(angle HGE)+(angle EGF) = 38+110 = 148
which is exactly the measure of angle HGF
This confirms that the equation
(angle HGE) + (angle EGF) = angle HGF
is true for that x value of x = 9. Therefore, the answer is confirmed.
9000 if you don't allow numbers with leading zeros, such as 0,000.
10,000 if you do allow numbers with leading zeros.