Question

PLEASE HELP QUESTION IN PICTURE

Answer 1

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.

• $b + (25+100)=180$
• $b + 125 = 180$

Step 2: Subtract 125 from both sides.

• $b + 125 - 125 = 180 - 125$
• $b = 55$

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.

• $110-55 = d + 55-55$
• $55 = d$

Therefore, d = 55.