Answer:
30° is one of the degree measures of the angles.
Hence, option (A) is true.
Step-by-step explanation:
Given that the degree measure of one of two complementary angles is twice that of the other.
Complementary angles
Thus the equation becomes
x + 2x = 90°
3x = 90°
Divide both equations by 3
3x/3 = 90°/3
x = 30°
Therefore, 30° is one of the degree measures of the angles.
Hence, option (A) is true.
The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?
A.) 30 degrees
Let one angle = x
According to statement,
Another angle = 2 × first angle
[tex] \sf : \implies Another \: angle = 2x[/tex]
Now, we know that sum of complementary angles is 90°
Hence,
[tex] \sf : \implies x + 2x = 90^{\circ}[/tex]
[tex] \sf : \implies 3x = 90^{\circ}[/tex]
[tex] \sf : \implies x = \dfrac{\cancel{90}^{\circ}}{\cancel{3}}[/tex]
[tex] \sf : \implies x = 30^{\circ}[/tex]
[tex] \Large \underline{\boxed{\sf{ x = 30^{\circ} }}}[/tex]
Therefore, one of the angle is 30°.
Another angle = 2 × 30° = 60°
