Answer:
Therefore, the Two Complementary Angles are 74° and 16°.
Step-by-step explanation:
Complementary Angles:
Two angles are Complementary when they add up to 90 degrees.
For Example
Complementary angles are 40 and 50.
To Find:
Complement angle measure = ?
Solution:
Let The Complement measure angle be 'x'
and its complement measure angle be 'y'
Then according to the given condition its complement angle will be
y = 5x - 6
By definition of Complementary Angles we have
x + y = 90°
x + 5x - 6 = 90
6x = 90 + 6
6x = 96
∴ [tex]x=\frac{96}{6} \\\\x= 16\°[/tex]
y = 5×16 - 6 = 74°
Therefore, the Two Complementary Angles are 74° and 16°.
