Answer:
∠B = 45
Explanation:
From the diagram, we can see that ∠A and ∠B are alternate exterior angles. This means ∠B equals ∠A.
We can solve for ∠B by solving for x, then plugging it into ∠B.
we know ∠B = ∠A, so we can write the equation like:
5x-15 = 2x+21
now lets solve for x:
5x - 15 = 2x + 21
Step 1: Subtract 2x from both sides.
5x − 15 − 2x = 2x + 21 − 2x
3x − 15 = 21
Step 2: Add 15 to both sides.
3x − 15 + 15 = 21 + 15
3x = 36
Step 3: Divide both sides by 3.
3x/3 = 36/3
x=12
Now that we know x = 12, we can solve for ∠B
∠B = 2x + 21
∠B = 2(12) + 21
∠B = 45