Question

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only question no.. 9. ​

Answer 1

$\huge \rm \underline \red{Answer}$

Given :

the two adjacent angles on a straight line are in the ratio 5:4.

Solution :

we can multiply the ratio with the same variable.

Then the angles are given by, 5x and 4x.

$\rightarrow$It is given that these angles are adjacent angles on a straight line. so, they form a linear pair.

we know that linear pair are supplementary and have same equal to 180°

$\sf \rightarrow5x + 4x = 180 \degree$

$\sf \: \rightarrow9x = 180 \degree$

$\rightarrow \sf \: x = \frac{180 \degree}{9}$

$\sf \rightarrow \: \: x = 20 \degree$

Now, we have x as 20°

Then the angles are,

$\rightarrow \sf5x = 5 \times 20 \degree = 100 \degree$

$\rightarrow\sf \: 4x = 4 \times 20 \degree = 80 \degree$

$\therefore$The required measure of angle is 80°.

Answer 2

$\huge\boxed{\fcolorbox{red}{ink}{SOLUTION:}}$

$\red{ \qquad \underline{ \pmb{{ \mathbb{ \maltese  \:  COMPLETE \: \: QUESTION \:   \maltese }}}}}$

• Two adjacent angle on straight are in the ratio 5:4.Find the measure of each one the angle

$\huge\boxed{\fcolorbox{pink}{ink}{TO FIND:}}$

• Find the measure of each one of the angle

$\Large\green{\qquad\underline{\pmb{{ \mathbb { \maltese  \:  GIVEN \:  \maltese }}}}}$

• Two adjacent angle on straight are in the ratio 5:4

$\large \mathfrak{ \text{W}e \: \text{K}now }$

• These angles are adjacent angles on a straight line Hence they form a linear pair.
• The measure of linear pair angle is 180°

$\Large \orange{\qquad \underline{ \pmb{{ \mathbb{ \maltese  \:SOLUTION \:  \maltese }}}}}$

$\huge\fbox\pink{✯Now ✯}$

$= 5x + 4x = 180 \\ \\ \\ = 9x = 180 \\ \\ = x = 20$

$\huge\boxed{\dag\sf\red{Therefore}\dag}$

$5x = 5 \times 20 = 100 \\ \\ 4x = 4 \times 20 = 80$

$\huge\mathcal\colorbox{lavender}{{\color{b}{✿Yøur-Añswer♡}}}$

$\large\bf{\underline{\red{VERIFIED✔}}}$

Therefore the angles measure are 100°and 80°.

$\boxed{I \:Hope\: it's \:Helpful}$

${\sf{\bf{\blue{@ALEXANDER࿐}}}}$