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use the figure to find the value of x. (15x - 41)° 64° (a) write an equ…

Question

use the figure to find the value of x.
(15x - 41)°
64°
(a) write an equation to find x. make sure you use an \=\ sign in your answer.
equation:

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. So, $15x - 41=64$.

Step2: Solve the equation for x

Add 41 to both sides: $15x=64 + 41$, so $15x=105$.

Step3: Isolate x

Divide both sides by 15: $x=\frac{105}{15}$, so $x = 7$.

Answer:

Equation: $15x-41 = 64$, $x = 7$