Answer:
25°
Step-by-step explanation:
A supplementary angle refers to two angles that measure up to 180° degrees when added together.
Let x = one of the angles
Let y = 115°
[tex] x + y = 180^{\circ} [/tex]
[tex] x = 180 - y[/tex]
[tex] x = 180 - 115[/tex]
x = 65°
To find the complementary angle;
A complementary angle refers to two angles that measure up to 90° degrees when added together.
Let a = one of the angles.
Let b = 65°
[tex] a + b = 90^{\circ} [/tex]
[tex] a = 90 - b[/tex]
[tex] a = 90 - 65[/tex]
a = 25°
Therefore, the complement of an angle whose supplement is 115 degrees is 25 degrees.
