Question

HELPPPP MEEEEEE PLEASEEEEhey tutor how you doing doing I struggle with math so much.

Answer 1

Answer:

$m\measuredangle8=110^o$

Explanation:

The angles 4 and 8 are equal; therefore,

$m\measuredangle8=m\measuredangle4$$3x+20=x+80$

Subtracting x from both sides gives

$2x+20=80$

Subtracting 20 from both sides gives

$2x=80-20$$2x=60$

Finally, dividing both sides by 2 gives

$\boxed{x=30.}$

With the value of x in hand, we now find the measure of angle 8.

$m\measuredangle8=x+80$$m\measuredangle8=30+80$$\boxed{m\measuredangle8=110^o\text{.}}$

Hence, the measure of angle 8 is 110.