Question

Y’all I need help on #9

Answer 1

Answer:

$8° = y$

$12° = x$

________________

$11° = z$

$7° = y$

$23 = x$

Step-by-step 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°

____________

$\frac{48°}{4°} = \frac{[4x]°}{4°} \\ \\ 12° = x$

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°

__________

$\frac{88°}{11°} = {[11y]°}{11°} \\ \\ 8° = y$

_______________________________________________

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°

______________

$\frac{91°}{13°} = \frac{[13y]°}{13°} \\ \\ 7° = y \\ \\ 90° = m∠R$

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°

____________

$\frac{66°}{6°} = \frac{[6z]°}{6°} \\ \\ 11° = z$

I am joyous to assist you anytime.