Question

SA is the perpendicular bisector of TR. m 12 years ago

Answer 1

Hold on. I messed up an angle measure in the drawing.

Answer 2

Triangle TSX and TRiangle RSX are congruent by SAS Postulate.

So, corresponding angles of congruent triangles are congruent.

The 60 degree angle has now been split into two 30-degree angles.

Answer 3

Angle TSR is 120 so half of it is 60. So the triangle has 2 angles 60 and 90 degrees. Now use the Triangle Sum Theorem (all 3 angles of a triangle is 180 degrees) to get the third angle to be 30 degrees.

Answer 4

Now, find the missing angle measure of the triangle.