Question

1. 79° 104° m∠1 =

Explanation:

Step1: Find the adjacent interior angle

The adjacent interior angle of \(104^{\circ}\) is \(180 - 104=76^{\circ}\) (linear - pair angles sum to \(180^{\circ}\)).

Step2: Use the triangle - angle sum theorem

In a triangle, the sum of interior angles is \(180^{\circ}\). Let \(m\angle1=x\). Then \(x + 79+76 = 180\) (triangle - angle sum formula \(A + B + C=180^{\circ}\)).
Simplify the left - hand side: \(x+(79 + 76)=x + 155\).
So, \(x+155 = 180\).
Subtract 155 from both sides: \(x=180 - 155\).

Answer:

\(25^{\circ}\)