Answer:
b = 55
d = 55
Step-by-step explanation:
Part B:
1. We can see that m∠C (25 degrees), the angle with 100 degrees, and ∠B are adjacent angles that add up to 180 degrees.
- This means that b + 25 + 100 = 180
2. (Solving equation above)
Step 1: Simplify both sides of the equation.
- [tex]b + (25+100)=180[/tex]
- [tex]b + 125 = 180[/tex]
Step 2: Subtract 125 from both sides.
- [tex]b + 125 - 125 = 180 - 125[/tex]
- [tex]b = 55[/tex]
Therefore, b = 55.
Part D:
1. The exterior angle theorem states that the exterior angle of a triangle is congruent to the sum of the two opposing interior angles.
- This means that 110 = d + 55
2. (Solving)
Step 1: Subtract 55 from both sides.
- [tex]110-55 = d + 55-55[/tex]
- [tex]55 = d[/tex]
Therefore, d = 55.
