Answer:
See below
Step-by-step explanation:
15)
In the right-angle triangle, once one of the angles is 44º, then, the unknown angle is [tex]x[/tex].
[tex]180 = 44 + 90 + x[/tex]
[tex]180 = 134 + x[/tex]
[tex]x= 46[/tex]
The angle [tex]y[/tex] of the other triangle plus the angle [tex]x[/tex] of the right-angle triangle is equal to 90º, therefore they are complementary angles.
So,
[tex]90 = x + y[/tex]
[tex]90 = 46 + y[/tex]
[tex]y=44[/tex]
To find ?, we have
[tex]180 = 58 + 44 +?[/tex]
[tex]180 = 58 + 44 +?[/tex]
[tex]? =78[/tex]
16)
The sum of the internal angles of the triangle with angles 50º and 25º is equal to 180º, therefore, the other angle is
[tex]180 = x + 50 + 25\\180 = x+ 75\\x=105[/tex]
Once the angles are opposite, they are the same. For the triangle with the 36º angle, we have
[tex]180 = 36 + 105 + y[/tex]
[tex]180 = 141+ y[/tex]
[tex]y=39[/tex]
[tex]?=39[/tex]
