Question

Points B and C are on parallel lines with s and T, respectively. The size of the angle BAC is 96 degrees. Find the acute angle between straight AC and straight t if it is known that it is three times the size of the acute angle between straight AB and straight S.

Answer 1

• 72°

Explanation:

Let the acute angles be B and C.

If we add a parallel line through the point A, we'll see that:

• m∠BAC = B + C

And we know that:

• m∠BAC = 96
• C = 3B

Plug in the known parameters to get:

• B + 3B = 96
• 4B = 96
• B = 24

We are looking for the value of C:

• C = 3*24 = 72