Question

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the exterior angle is ∠4. the non - adjacent interior angles are ∠1 and ∠2. m∠3 + m∠4 = 180° m∠1 + m∠2 + m∠3 = 180° isolate m∠4 in the equation. m∠3 + m∠4 = m∠1 + m∠2 + m∠3 m∠4 =?

Explanation:

Step1: Subtract \(m\angle3\) from both sides

$$m\angle3 + m\angle4 - m\angle3=m\angle1 + m\angle2 + m\angle3 - m\angle3$$

Step2: Simplify the equation

On the left - hand side, \(m\angle3 - m\angle3 = 0\), so \(m\angle4=m\angle1 + m\angle2\)

Answer:

\(m\angle4=m\angle1 + m\angle2\)