Question

If two angles are in the ratio 1:5, find them.

Answer 1

Answer:

angleABC=5anglePQR.

Answer 2

Answer:

❥ If the angles are complementary:-

[Two Angles are Complementary when they add up to 90 degrees (a Right Angle)

❥so we can solve it by this method:-

$\mathfrak{\bold{\underline{Given \: ratio \: of \: angles=1:5}}}</p><p>$

So let them as 1x and 5x

If they are complementary:-

1x+5x=90°

$\mathfrak{\bold{\underline{It \: is \: an \: equation \: now,so \: we \: can \: solve it}}}</p><p>$

1x+5x=90

6x=90

x=90/6

x=15°

$\mathfrak{\bold{\underline{So \: we \: get \: x=15°}}}$

1x=1×15°=15°

$\mathfrak{\bold{\underline{First \: angle \: is \: of \: 15°}}}$

$</p><p>\mathfrak{\bold{\underline{❥Now, second \: angle:-}}}</p><p></p><p>$

5x=5×15°=75°

$</p><p>\mathfrak{\bold{\underline{Second \: angle \: is \: of \: 75°}}}$

_____________________________

$\mathfrak{\bold{\underline{❥If \: the \: angles \: are \: supplementary:-}}}</p><p></p><p>$

1x+5x=180°

6x=180°

x=180/6

x=30°

$\mathfrak{\bold{\underline{So \: we \: get \: x \: as \: 30°}}}$

1x=1×30°=30°

$\mathfrak{\bold{\underline{First \: angle \: is \: of \: 30°}}}</p><p>$

$\mathfrak{\bold{\underline{❥Now, second \: angle:-}}}</p><p>$

5x=5×30°=150°

$\mathfrak{\bold{\underline{Second \: angle \: is \: of \: 150°}}}</p><p>$

$\mathfrak{\bold{\underline{❥ Hope \: it \: helps \: you..}}}$