Question

In the triangle, if m<rst =64 then what is m<rpt

Answer 1

Answer:The answer is 122 degrees

Step-by-step explanation:

Answer 2

Answer:

122°

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180°.  Since m∠RST = 64°, this means that the other two angles must equal

180-64 = 116°.

We know from the diagram that RST is an isosceles triangle.  This means that the base angles, ∠SRT and ∠STR, are congruent; this means each of them would equal

116/2 = 58°.

RP will bisect ∠RST, and PT will bisect ∠STR.  This means that ∠PTR = 58/2 = 29° and ∠PRT = 58/2 = 29°.

This means the base angles are 29+29 = 58°; this leaves 180-58 = 122° for ∠RPT.