Question

35° 70° 45° 1 2 3 (the figure is not to scale.)

Explanation:

Step1: Find angle 1

The sum of angles in a triangle is \(180^\circ\). For the left triangle, angles are \(35^\circ\), \(70^\circ\), and \(\angle 1\). So, \(\angle 1 = 180^\circ - 35^\circ - 70^\circ\)
\(\angle 1 = 75^\circ\)

Step2: Find angle 2

Angles \(\angle 1\) and \(\angle 2\) are supplementary (form a linear pair), so \(\angle 2 = 180^\circ - \angle 1\)
\(\angle 2 = 180^\circ - 75^\circ = 105^\circ\)

Step3: Find angle 3

For the right triangle, angles are \(45^\circ\), \(\angle 2\), and \(\angle 3\). Using the triangle angle sum: \(\angle 3 = 180^\circ - 45^\circ - \angle 2\)
Substitute \(\angle 2 = 105^\circ\): \(\angle 3 = 180^\circ - 45^\circ - 105^\circ = 30^\circ\)

Answer:

\(\angle 1 = 75^\circ\), \(\angle 2 = 105^\circ\), \(\angle 3 = 30^\circ\) (assuming we need to find all three angles; if specific, adjust accordingly)