Question

Can you help me with this? 7

Answer 1

65º

Explanation:

• The angle of a straight line is 180º, so ∠ABD=180º and ∠ABC=(180-6x)º
• The sum of the interior angles of a triangle is 180, so (x+40)º+(3x+10)º+(180-6x)º=180
• We can solve from there, x+40+3x+10+180-6x=180
• Combine like terms, -2x+230=180
• Subtract 230, -2x=-50
• Divide by -2, x=25

1. m∠CAB=(x+40)º=(25+40)º=65º
2. m∠ABC=(180-6x)º=(180-150)º=30º
3. m∠BCA=(3x+10)º=(75+10)º=85º