Question

6.
$m\angle1 = \underline{\quad\quad}$
$m\angle2 = \underline{\quad\quad}$
$m\angle3 = \underline{\quad\quad}$
7.

Explanation:

Step1: Calculate $m\angle1$

The sum of angles in a triangle is $180^\circ$.
$$m\angle1 = 180^\circ - 61^\circ - 68^\circ = 51^\circ$$

Step2: Calculate $m\angle2$

$\angle2$ and the $61^\circ$ angle are vertical angles, so they are equal.
$$m\angle2 = 61^\circ$$

Step3: Calculate $m\angle3$

The sum of angles in a right triangle is $180^\circ$.
$$m\angle3 = 180^\circ - 90^\circ - 61^\circ = 29^\circ$$

Answer:

$m\angle1 = 51^\circ$
$m\angle2 = 61^\circ$
$m\angle3 = 29^\circ$