An angle is equal to one-third its complement. find the angle's measure.

Hello from MrBillDoesMath!

  22.5

Discussion:

An angle and its complement add up to 90 degrees So, if  "@" is the angle mentioned in the question, its complement is (90 [email protected]). Per the question

@ = (1/3) (90 - @)

Multiply both sides by 3 to get

[email protected] = 90 - @

Add @ to each side

[email protected] = 90

Divide each side by 4

@ = 90/4 = 22.5

(and the complementary angle is  67.5)

Regards, MrB

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d