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2 years ago

PLEASE HELP QUESTION IN PICTURE

Mathematics

1 answer:

sp2606 [1]2 years ago

5 0

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.

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