Question

Q4. Find the angles which is two-third of its supplement​

Answer 1

Answer:

In other words, if you're given an angle that is less than 180 degrees, you find that angle's supplement by subtracting it from 180 degrees. Let choose the variable name x to represent our unknown angle. If x is the angle, then 180 - x is the supplement. Two-thirds of the supplement can be expressed as (2/3)*(180 - x).

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Answer 2

$\huge \red {\underline \star\boxed{QUESTION}}$

Find the angles which is two-third of its compliment❓

$\huge \purple {\underline \star\boxed{answer}}$

$<font color=pink>$

$let \: the \: angle \: x$

$and \: its \: compliment \: angle \: be \: y$

$\orange{by \: the \: problem \: }x = \green{ \frac{2}{3} y}$

$we \: know \: that$

sum of compliments angle is 90°

$= > \red{ y + \frac{2}{3} y }= 90 \degree$

$= > \frac{3y + 2}{3} \orange= \purple 90 \degree$

$= > \frac{5y}{3} = 90 \degree$

$= > 5y = 90 \times 3$

$y = \red{\frac{90 \times 3}{5} }$

$\red {\boxed{ y = 36 \degree}}$

THEREFORE,

THE ANGLES ARE 54°and 36°