QUESTION IMAGE
Question
find the value of x.
a
(2x - 2)°
f
(2x - 2)°
h
x =
submit
Step1: Note right - angle and angle sum
The sum of angles around point G is 360°. There is a right - angle (90°) and an angle of 34°. Also, two angles of measure (2x - 2)° are present. So, 90+34+(2x - 2)+(2x - 2)=360.
Step2: Simplify the left - hand side
Combine like terms: 90+34 - 2 - 2+2x+2x = 360. Which gives 120 + 4x=360.
Step3: Solve for x
Subtract 120 from both sides: 4x=360 - 120. So 4x = 240. Then divide both sides by 4: x = 60.
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