Answer:
(a) 64.76°
(b) 115.24°
Explanation:
(a) If lines (a) and (b) are parallel and line (t) transverses them, then ∠1, ∠4, ∠5, and ∠8 are equal. Therefore, if ∠1 equals 64.76°, then ∠4 is 64.76°.
(b) Similarly, ∠2, ∠3, ∠6, and ∠7 are equal. Since they are adjacent to the other set of angles, their measurement is 180° – 64.76° = 115.24°. Therefore, ∠6 is 115.24°.