Question

6. In the given figure, AOB is a straight line and the ray OC stands on it.
If ZAOC = 64° and ZBOC = xº find the value of x ​

Answer 1

Step-by-step explanation:

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Answer 2

$\sf\Large{\underline{\underline{Answer:-}}}$

${\underline{\underline{\sf{\green{Given,}}}}}$

• ∠AOB is a straight line.
• OC is a ray on AB
• ∠AOC = 64°
• ∠BOC = x°
• Find the value of x.

We know that, such pairs of Angles which makes 180° are called linear pair.

${\underline{\underline{\sf{\red{Therefore;}}}}}$

∠AOB and ∠BOC makes linear pair (180°).

$\begin{gathered}\\\;\sf{:\rightarrow\;\;\;\bf{{ ∠AOB + ∠BOC} = 180\:}}\end{gathered}$

$\begin{gathered}\\\;\sf{:\rightarrow\;\;\;\bf{{64 + x} = 180\:}}\end{gathered}$

$\begin{gathered}\\\;\sf{:\rightarrow\;\;x\; = \bf{{180 - 64}\:}}\end{gathered}$

$\begin{gathered}\\\;\sf{:\rightarrow\;\;x\;=\;\bf{{116}\:}}\end{gathered}$

${\underline{\underline{\sf{\purple{Thus,}}}}}$ the value of x is 116°.

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${\underline{\underline{\sf{\green{Additional \: Information:-}}}}}$

Types of Angles:-

✽Acute angle$\Longrightarrow$ Angles less than 90°, are called acute angles.

✽Obtuse Angle$\Longrightarrow$ Angles less than 180° and more than 90°.

✽Right Angle$\Longrightarrow$ an angle which makes 90°.

✽Straight Angle$\Longrightarrow$ angle which makes 180°.

✽Reflexive Angle $\Longrightarrow$ angles which are less than 360° and more than 180°.

✽Complete angle $\Longrightarrow$ an angle equal to 360° is called complete Angle or full rotation.