Question

What is the answer? What is the answer?

Answer 1

Answer:

  B.  m∠RTS = 78°

Step-by-step explanation:

The sides GH and GI of ΔGHI have the same length, so their opposite angles, ∠I and ∠H will have the same measures. Call that measure "x".

The sum of angles in a triangle is 180°, so we have ...

  24° +x +x = 180°

  2x = 156° . . . . subtract 24°

  x = 78° . . . . . . divide by 2

The triangle similarity statement tells you that ∠T will have the same measure as ∠I, which is x, or 78°.

  m∠RTS = 78°