Question

1. use the diagram below to find ( mangle1 ).

Explanation:

Step1: Use the property of adjacent angles on a straight line

Adjacent angles on a straight line sum to \(180^{\circ}\). Let the angle adjacent to the \(110^{\circ}\) angle be \(a\). Then \(a + 110^{\circ}=180^{\circ}\), so \(a = 180^{\circ}- 110^{\circ}=70^{\circ}\).

Step2: Use the property of parallelogram (opposite angles are equal)

The figure is a parallelogram (as both pairs of opposite sides are parallel). In a parallelogram, opposite angles are equal. Angle \(a\) and \(\angle1\) are equal.

Answer:

\(70^{\circ}\)