m∠1 = 115°
m∠7 = 65°
∠1 & ∠7 = Consecutive Exterior Angles
CEA = Supplementary Angles
→ m∠1 + m∠7 = 180°
→ (5x+15)° + (3x+5)° = 180°
→ 5x + 3x + 15 + 5 = 180°
→ 8x + 20 = 180°
→ 8x + ( 20 - 20 ) = 180° - 20°
→ 8x = 160°
→ 8x / 8 = 160° / 8
→ x = 20
SUBSITUTION
• m∠1 = [ 5(20) + 15 ]°
m∠1 = ( 100 + 15 )°
• m∠7 = [ 3(20) + 5 ]°
m∠7 = ( 60 + 5 )°
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Answer:
m∠1 = 115°
m∠7 = 65°
Step-by-step explanation:
∠1 & ∠7 = Consecutive Exterior Angles
CEA = Supplementary Angles
→ m∠1 + m∠7 = 180°
→ (5x+15)° + (3x+5)° = 180°
→ 5x + 3x + 15 + 5 = 180°
→ 8x + 20 = 180°
→ 8x + ( 20 - 20 ) = 180° - 20°
→ 8x = 160°
→ 8x / 8 = 160° / 8
→ x = 20
SUBSITUTION
• m∠1 = [ 5(20) + 15 ]°
m∠1 = ( 100 + 15 )°
m∠1 = 115°
• m∠7 = [ 3(20) + 5 ]°
m∠7 = ( 60 + 5 )°
m∠7 = 65°
STAN SB19 PO :>