Question

Y’all I need help on #9

Answer 1

`8° = y`

`12° = x`

________________

`11° = z`

`7° = y`

`23 = x`

Explanation:

What you need to know

-
`m∠K ≅ m∠W; KB = WM`

-
`m∠G ≅ m∠T; KG = WT`

-
`m∠B ≅ m∠M; GB = TM`

45° = [4x - 3]°

+ 3° + 3°

____________

`(48°)/(4°) = ([4x]°)/(4°) \\ \\ 12° = x`

Then use the Triangular Interior Angles Theorem to find the
`m∠M`then set that equal to the
`m∠B`:

180° = 41° + 45° +
`m∠M`

180° = 86° +
`m∠M`

- 86° - 86°

______________

94° =
`m∠M`

94° = [11y + 6]°

- 6° - 6°

__________

`(88°)/(11°) = {[11y]°}{11°} \\ \\ 8° = y`

_______________________________________________

What you need to know

-
`m∠H ≅ m∠S; HC = SP`

-
`m∠F ≅ m∠R; CS = RP`

-
`m∠C ≅ m∠P; HF = SR`

90° = [13y - 1]°

+ 1° + 1°

______________

`(91°)/(13°) = ([13y]°)/(13°) \\ \\ 7° = y \\ \\ 90° = m∠R`

Then use the Triangular Interior Angles Theorem to find the
`m∠S`then set that equal to the
`m∠H`:

180° = 28° + 90° +
`m∠S`

180° = 118° +
`m∠S`

- 118° - 118°

______________

62° =
`m∠S`

62° = [6z - 4]°

+ 4° + 4°

____________

`(66°)/(6°) = ([6z]°)/(6°) \\ \\ 11° = z`

I am joyous to assist you anytime.