Answer:
[tex]m\angle 2=33^\circ[/tex]
Step-by-step explanation:
Right Triangle
The figure shows a right triangle with angles 2 and 3 unknown.
The sum of the internal angles of all triangles is 180°, since one of them is 90°, then the sum of the rest of the angles is 90°. It means that:
[tex]m\angle 2+m\angle 3=90^\circ[/tex]
The measures of both angles are expressed as functions of x. Substituting their values:
x+8 + 2x + 7 = 90
Simplifying:
3x + 15 = 90
Operating:
3x = 90 - 15 = 75
Solving:
x = 75 / 3 = 25
x = 25°
Now, the measure of angle 2=x+8 = 33°
[tex]\boxed{m\angle 2=33^\circ}[/tex]
