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find x. (4x - 7)° 45° a. x = 13 b. x = 12 c. x = 11 d. x = 14

Question

find x.
(4x - 7)° 45°
a. x = 13
b. x = 12
c. x = 11
d. x = 14

Explanation:

Step1: Identify angle relationship

The two angles are vertical angles, so they are equal.
$4x - 7=45$

Step2: Solve for x

Add 7 to both sides: $4x=45 + 7$, so $4x=52$.
Then divide both sides by 4: $x=\frac{52}{4}=13$.

Answer:

A. x = 13