Question

question 4 (1 point)
find the missing angle.
m∠1 =
blank 1:

Explanation:

Step1: Use the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. Let the exterior angle be \(104^{\circ}\), one non - adjacent interior angle be \(79^{\circ}\), and the other non - adjacent interior angle be \(\angle1\). So, \(104^{\circ}=79^{\circ}+\angle1\).

Step2: Solve for \(\angle1\)

Subtract \(79^{\circ}\) from both sides of the equation \(104^{\circ}=79^{\circ}+\angle1\). We get \(\angle1 = 104^{\circ}-79^{\circ}\).

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Answer:

\(25^{\circ}\)