Question

THE CORRECT ANSWER IS‘60°’ CAN YOU EXPLAIN WHY?​

Answer 1

Answer:

Yess...i can explain it

Step-by-step explanation:

2x and x are the interior angles

so therefore..

x + 2x = 180....( sum of interior angle is 180⁰)

3x = 180

x = 180 / 3

x = 60

that is the answer..

i hope this will help you...

Answer 2

See the attached photo and then go to the solution ⤴️

Solution :

$\longrightarrow$ If l || m,

$\longrightarrow$ Hence, 2x + x = 180°

$\longrightarrow$ ( Because of alternate interior angle )

$\longrightarrow$ $\sf 2x + x = 180°$

$\longrightarrow$ $\sf 3x = 180°$

$\longrightarrow$ $\sf x = \frac{180°}{3}$

$\longrightarrow$ $\sf x = \frac{\cancel{180°}^{\: \: 60°}}{\cancel{3}}$

$\longrightarrow$ $\sf x = 60°$

Extra :

Hence, All Angles

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• $\sf \boxed{ x = 60°}$

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• $\sf 2x$

• $\sf 2(60°)$

• $\sf \boxed{ 2x = 120°}$

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I hope it helps you ❤️✔️