Question

3. The larger of two supplementary angles exceeds the smaller by 18°.
'Find the angles.
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Answer 1

______✨HoLa✨______

We know that Supplementary angles add up to 180.

Let the first angle be

$x$

Let the other angle be

$x + 18$

$x + x + 18 = 180 \\ 2x + 18 = 180 \\ 2x = 162 \\ x = \frac{162}{2} = 81$

The First angle is 81 and other is 18+81=99

Hope this helps

Answer 2

Find angles.....

Solution÷ .

$\color{red} \huge {supplementry \: angle = 180}$

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hence ...

Let angle one == x

Let other angle = y

A.T.Q

Larger the supplement angle exceeds smaller one ....

so euqations are

$x + y = 180 \\ \\ x - y = 18$

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- + -

2y= 162

• y => 162/2
• y=> 81°Ans

$\color{blue} \huge{put \: value \: of \: y \: in \: (1)}$

x+y=180°

x+81°=180

x=180-81°

x=99°

Ans....

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Hope its helps u ✌️❤️☺️