Question

WILL GIVE BRAINEST!!!Need help right now

Answer 1

Answer:

See below ~

Step-by-step explanation:

Solving for x in ΔLMN

• 6x + 3 + 4x - 10 + 5x + 7 = 180
• 15x = 180
• x = 12

Angles in ΔLMN

• (6x + 3)° = 6(12) + 3 = 75°
• (4x - 10)° = 4(12) - 10 = 38°
• (5x + 7)° = 5(12) + 7 = 67°

Solving for y in ΔSTU

• 5x + 3y + 9y - 7 + 6x - 5 = 180
• 11x + 12y - 12 = 180
• 11(12) + 12y = 192
• 132 + 12y = 192
• 12y = 60
• y = 5

Angles in ΔSTU

• (5x + 3y)° = 5(12) + 3(5) = 60 + 15 = 75°
• (9y - 7)° = 9(5) - 7 = 45 - 7 = 38°
• (6x - 5)° = 6(12) - 7 = 72 - 7 = 67°

⇒ Their angles are equal (in ΔLMN and ΔSTU)

⇒ ΔLMN and ΔSTU are similar