Sum of two angles that are complementary = 90°
Let the smaller angle be x .
Then the larger angle = 2x
Let us make an equation to find the measure of both the angles :-
[tex]2x + x = 90[/tex]
[tex]3x = 90[/tex]
[tex]x = \frac{90}{3} [/tex]
[tex]x = 30[/tex]
Which means :-
Measure of the small angle = 30°
Measure of the larger angle = 2 × 30 = 60°
Therefore , the measure of the bigger angle is 60° .
