Question

x°, y°, and z°,are three angles lying on a straight line having vertices at same point.If y° is 45° and z° is 86° . Find the value of x​

Answer 1

ANSWER

x=49°

Step-by-step explanation:

X+y+z =180

X+45°+86°=180

X = (180-131)°

x=49°..

Answer 2

${\red{\underline{\underline{\bold{Given:-}}}}}$

• X , Y & Z are three angles lying on a straight line .
• Y = 45°
• Z = 86°

${\blue{\underline{\underline{\bold{To Find:-}}}}}$

• Value of x

${\green{\underline{\underline{\bold{Answer:-}}}}}$

According to the Question

It is given that all three angles are lying on a straight line .

As we know that sum of all angles formed on a straight line is 180° . It means

• X + Y + Z = 180°

Substitute the value we get

$:\implies$ X + 45° + 86° = 180°

$:\implies$ X + 131 = 180°

$:\implies$ X = 180° -131

$:\implies$ X = 49°

• $\large\purple{{\underline{\boxed{\textbf{Hence,\:the\: value\: of\: X = 49°}}}}}$