Question

in triangle pqr pq/pr=qm/mr ∠q=75 and ∠r=45 find the measure of ∠ qpm

Answer 1

Let's assume angle Q =75° =angle 1

and angle R =45° = angle 2

angle P (angle QPM) = angle 3

Therefore,

By angle sum property,

Angle 1 +angle 2 + angle 3 = 180°

75°+ 45° + angle 3 = 180°

120°+angle 3 = 180°

Angle 3 = 180° -120° = 60°

Angle PQM = 60°

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Answer 2

Answer:

Question ⤵

In triangle pqr pq/pr=qm/mr ∠q=75 and ∠r=45 find the measure of ∠ qpm .

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Let's assume angle Q =75° =angle 1

and angle R =45° = angle 2

angle P (angle QPM) = angle 3

Therefore,

By angle sum property,

Angle 1 +angle 2 + angle 3 = 180°

75°+ 45° + angle 3 = 180°

120°+angle 3 = 180°

Angle 3 = 180° -120° = 60°

Angle PQM = 60°

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