An angle is 4/6 of its complement. What is its measure?Explain In Deta – InterviewSolution

1.

An angle is 4/6 of its complement. What is its measure?Explain In Details.

Answer»

Answer:

54°

Step-by-step explanation:

LETS angles be X, $\frac{4}{6}$ x

x + ( $\frac{4}{6}$ x) = 90°

x + $\frac{2x}{3}$ = 90°

$\frac{3x + 2x}{3}$ = 90°

$\frac{5x}{3}$ = 90°

x = 90° * $\frac{3}{5}$

x = 54°

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