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

Mathematics

2 answers:

RideAnS [48]2 years ago

8 0

Answer:The answer is 122 degrees

Step-by-step explanation:

ohaa [14]2 years ago

3 0

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.

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