Question

In a triangle PQR, m∠P = 75, m∠Q = 60, m∠R = 45. Find the measures of the angles of the triangle formed by joining the midpoints of the sides of this triangle.

Answer 1

Answer:

∠A = ∠P = 75

∠B = ∠Q = 60

∠C = ∠R = 45

Step-by-step explanation:

In a triangle PQR, m∠P = 75, m∠Q = 60, m∠R = 45

Let say A is mid point of PR & B is mid point of QR  & C is the mid point of  PQ

then AB ║ PQ & AB = PQ/2

       BC ║ PR   & BC = PR/2

       AC ║ QR   & QC = QR/2

=> ΔABC ≅ ΔPQR

∠A = ∠P = 75

∠B = ∠Q = 60

∠C = ∠R = 45

Answer 2

Step-by-step explanation:

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