<em>Answer: i=9</em>
<em />
<em>Step-by-step explanation:</em>
<em>-16=-4(-5+i)</em>
<em>-16=20-4i</em>
<em>-20 -20</em>
<em>-36=-4i</em>
<em>Divide by -4 </em>
<em>i=9</em>
The answer is x=70 degrees
The sum of the exterior angles of all polygon is always equal to 360°. The exterior angle sharing the same side with that of the right angle of the triangle is equal to 90°. If the other exterior angles are 13x and 14x then, they add up to 270°.
The equation that would allow us to determine the values of the angles are,
13x + 14x = 270
x = 10
The exterior angles are 130 and 140°. The exterior angle and the interior angle always add up to 180°.
Interior angle 1: 180° - 130° = 50°
Interior angle 2: 180° - 140° = 40°
Therefore, the measures of the two acute angles of the triangle are 50° and 40°.