Question

find the value of x.
a (2x - 2)°
f
h
x =
submit
b
34°
c
g
d

Explanation:

Step1: Recall angle - sum property around a point

The sum of angles around a point is 360°. Here, we have a right - angle (90°), an angle of 34°, and two angles of measure \((2x - 2)^{\circ}\). So, the equation is \(90+34+(2x - 2)+(2x - 2)=360\).

Step2: Simplify the left - hand side of the equation

First, combine like terms: \(90 + 34-2-2+2x+2x=360\).
\(120 + 4x=360\).

Step3: Solve for x

Subtract 120 from both sides: \(4x=360 - 120\).
\(4x=240\).
Divide both sides by 4: \(x=\frac{240}{4}\).

Answer:

\(x = 60\)