Question

Item 12 SA−→ bisects ∠RST and m∠RST=54.2∘. Find m∠RSA and m∠AST.

Answer 1

Answer:

m∠RSA is 27.1° and m∠AST is 27.1°

Step-by-step explanation:

If a ray bisects an angle, then it divides it into two equal angles in measures and the measure of each one is half the measure of this angle

In the given question

∵ Ray SA bisects ∠RST  

→ That means it divides it into two angles RSA and AST

∴ m∠RSA = m∠AST = $\frac{1}{2}$ m∠RST

∵ m∠RST = 54.2°

→ Multiply its measure by   to find the measures its parts

∴ m∠RSA =  $\frac{1}{2}$ × 54.2°

∴ m∠RSA = 27.1°

∴ m∠AST =  $\frac{1}{2}$ × 54.2°

∴ m∠AST = 27.1°