Question

(f) If an angle measures 135º, what angle should be added to it to convert it into a
straight angle.​

Answer 1

➵Given :-

• An angle is 135° .

➵To Find :-

• What should be added to make it a right angle .

➵Solution :-

${\large{\red{❒{\underline{\blue{\text{ \: \: We Know that :}}}}}}}$

${\orange{\text{Sum of all angles in a straight angle is 180°}}}$

${\large{\red{❒{\underline{\blue{\text{Let :}}}}}}}$

• Given angle = 135°
• Other angle = x°

${\large{\red{❒{\underline{\blue{\text{ Another angle :}}}}}}}$

${\large{:{\longmapsto{\bf{135° + x = 180°}}}}}$

${\large{:{\longmapsto{\bf{ x = 180° - 135}}}}}$

${\large{\purple{:{\longmapsto{\underline{\overline{\boxed{\bf{ X = 45°}}}}}}}}}$

${\large{\red{❒{\underline{\blue{\text{Therefore :}}}}}}}$

${\large{\orange{\underline{\green{\underline{\red{\pmb{\mathfrak{ Anothor \: angle \: is \: 45° .}}}}}}}}}</p><p></p><p>$

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Answer 2

Given :- An angle measures 135º .

To Find :- what angle should be added to it to convert it into a straight angle.

Concept used :-

• A straight angle is equal to 180° .

Solution :-

Let us assume that, the angle should be added in 135° to convert it into a straight angle is equal to x° .

So,

→ 135° + x° = Straight angle

→ 135° + x° = 180°

→ x° = 180° - 135°

→ x° = 45° (Ans.)

Verification :-

→ 135° + 45° = Straight angle

→ 180° = Straight angle .

Therefore, the required angle is equal to 45° .

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