Answer:
15° , 75°
Step-by-step explanation:
If two angles are complementary, then they add up to 90°.
Let one angle = x
So, its complementary angle = 90 - x
Two times of one angle = 40% of other angle
2x = 40% * (90 - x)
2x = 0.4 * (90 - x)
2x = 0.4*90 - 0.4*x
2x = 36 - 0.4x
Add 0.4x to both sides,
2x + 0.4x = 36 {addition property of equality}
2.4x = 36
Divide both sides by 2.4,
[tex]\sf x = \dfrac{36}{2.4}\\\\\\ x = 15[/tex]
x = 15°
90 - x = 90 - 15
= 75°
Measure of the angles are 15° , 75°
