Answer:
x = 7°
<GDH = 112°
<FDH = 192°
<FDE = 135°
Step-by-step explanation:
If DE bisects <GDH this means that <GDE = <EDH
Given <GDE = (8x+1)° and <EDH = (6x+15)° then;
8x+1 = 6x+15
8x-6x = 15-1
2x = 14
x = 7°
Since <GDH = <GDE + <EDH
<GDH = 8x-1+6x+15
<GDH = 14x+14
<GDH = 14(7)+14
<GDH = 98+14
<GDH = 112°
For <FDH,
Note that sum of angle on a straight line is 180°
<FDH = <FDG + <GDE + <EDH
<FDH = <FDG + <GDH
<FDG = 180-(43+8x+1)
<FDG = 180-44-8x = 136-8x
<FDH = 136-8x+112
<FDH = 248-8x
<FDH = 248-8(7)
<FDH = 248-56
<FDH = 192°
For <FDE;
<FDE = <FDG + <GDE
<FDE = 136-8x+8x-1
<FDE = 135°
A=45 degree I had the same example ... Even if a angle is 90 degrees is not necessarily a right triangle, so the angle A = 45 degrees
A fraction between 0 and 1/2
What is smaller than 1/2?
Smaller than 0.5 is 0.3
0.3 = 1/3
A fraction smaller than 1/2 and bigger than 0 is 1/3
Final answer: 1/3
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➷ x + y = 66
y - x = 22 (rearrange for y)
y = x - 22 (substitute this into the top equation)
x + (x - 22) = 66
2x - 22 = 66
Add 22 to both sides
2x = 88
x = 44
The two numbers are 44 and 22
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