Question

Suppose that BS→ bisects right angle ABC. In turn, BT→ bisects ∠SBC. Find m∠SBT.

Answer 1

To find m∠SBT, note that BS→ bisects the right angle ABC creating two 45-degree angles, and then BT→ bisects one of them, resulting in m∠SBT being 22.5 degrees.

Step-by-step explanation:

The question asks us to find the measure of angle m∠SBT, where BS→ bisects right angle ABC and BT→ bisects angle SBC. We know that a right angle measures 90 degrees, so when BS→ bisects it, each of the resulting angles, m∠ABS and m∠SBC, will measure 45 degrees. Then, when BT→ bisects m∠SBC, it divides the 45-degree angle in half. Therefore, the measure of angle m∠SBT will be 22.5 degrees.