Question

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

Explain In Details.​

Answer 1

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°

Please mark me brainliest

Answer 2

*Question:—

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

*Answer:—

Let the complement be 'x' so

According to the Question:—

→ x + (4x)/6 = 90°

→ 6x + 4x = 90° × 6

→ 10x = 540°

→ x = 540°/10

→ x = 54°

→ x = (90° ×5)/9 = 50°

It's measure is 50° .

$@vikramjeeth$