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The measure of an angle is twice the measure of its compliment. I hat are the measures of both angles?
A) 30 and 60
B) 20 and 40
C) 45 and 45
D) 60 and 120

Respuesta :

r3t40

If angles are complementary then their sum is 90 degrees.

[tex]\alpha+\beta=90^{\circ}[/tex].

If one is twice the other we get,

[tex]2\beta + \beta=3\beta=90^{\circ}\implies \beta=\frac{90^{\circ}}{3}=\boxed{30^{\circ}}[/tex]

And,

[tex]\alpha+30^{\circ}=90^{\circ}\implies\alpha=90^{\circ}-30^{\circ}=\boxed{60^{\circ}}[/tex].

So the answer is A. 30 and 60.

Hope this helps.

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