Question

Please help
http://prntscr.com/diagwk

Answer 1

@563blackghost

Answer 2

The `red lines` indicate that two sides are equal. This would mean this is an isosceles triangle. `An isosceles triangle has two equal sides and angles`. So `Angle A is equal to Angle B`.

\(\LARGE\bf{\angle A = \angle B}\)

Substitute.

\(\LARGE\bf{50=2x}\)

What would `x` be if you divide both sides by 2?

Answer 3

25

Answer 4

Nice :) `best to know the way to find x if it is ever needed ;)`

Now that we know the two angles equal 50 we can find what `angle C` would be. Since a triangle has a total degree of `180` we would add up all the angles to get that total angle.

\(\LARGE\bf{ \angle A + \angle B + \angle C = 180}\)

Substitute. `Remember angle B equals 50`.

\(\LARGE\bf{50+50+(5y+10)=180}\)

\(\LARGE\bf\color{orange}{110+5y=180}\)

Answer 5

We subtract `110` from both sides.

\(\LARGE\bf{\color{red}{110-}{110 + 5y=180}{\color{red}{-110}}}\)

\(\LARGE\bf{5y=70}\)

What would y be if we divide by 5 from both sides?

Answer 6

y=14

Answer 7

\(\huge\bf{\checkmark}\)

Answer 8

Thank you so much!

Answer 9

No problem ;)