Question

Just answer the question okay please don’t play with me rn.

Answer 1

Answer:

$\huge{ \boxed{ \bold{ \tt{m \angle \: abc \: = 35 \degree}}}}$

Option C is the best choice.

Step-by-step explanation:

✺ First , Let's know about Corresponding angles :

• A pair of interior and exterior angles which lies to the same side of a transversal.
• Remember that the corresponding angles are always equal.
• The easiest way to think of corresponding angles is the 'F - Pattern'.

✎ Now, In our case , x ° and ( 3x - 70 ) ° are corresponding angles. Set up an equation and solve for x.

$\sf{x = 3x - 70\: ( \: being \: corresponding \: angles})$

$\longrightarrow{ \sf{x - 3x = - 70}}$ { Move 3x to left hand side and change it's sign )

$\longrightarrow{ \sf{ - 2x = - 70}}$ { Combine like terms }

$\longrightarrow{ \sf{ \frac{ - 2x}{ - 2} = \frac{ - 70}{ - 2} }}$ { Divide both sides by -2 }

$\longrightarrow{ \sf{x = 35}}$

The value of x is 35°

Now, As we are asked to find the value of m $\angle$ ABC , replace the value of x :

$\sf{m \angle \: ABC \: = (3x - 70) \degree}$

$\dashrightarrow{ \sf{(3 \times 35 - 70) \degree}}$

$\dashrightarrow{ \sf{(105 - 70) \degree}}$

$\longrightarrow{ \boxed{ \sf{35 \degree}}}$

Therefore , m $\angle$ ABC = 35°

And we're done !

Hope I helped!

Best regards! :)

~TheAnimeGirl