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if m∠1 = (3x - 18)° and ∠1 is right, then x =

Question

if m∠1 = (3x - 18)° and ∠1 is right, then x =

Explanation:

Step1: Recall right angle measure

A right angle is \(90^\circ\), so \(m\angle1 = 90^\circ\).

Step2: Set up the equation

Given \(m\angle1=(3x - 18)^\circ\), we set \((3x - 18)=90\).

Step3: Solve for x

Add 18 to both sides: \(3x=90 + 18=108\).
Divide by 3: \(x=\frac{108}{3}=36\).

Answer:

\(36\)