Question

The angles of ΔPQR are the ratio 3:4:5. Find the measure of all angles of ΔPQR.

Answer 1

Answer:

Sum of angles of the quadrilateral is 360

o

.

∴ 3x+4x+5x+6x=360

o

⇒ 18x=360

o

⇒ x=

18

360

o

⇒ x=20

o

⇒ ∠P=3x=3×20

o

=60

o

⇒ ∠Q=4x=4×20

o

=80

o

⇒ ∠R=5x=5×20

o

=100

o

⇒ ∠S=6x=6×20

o

=120

o

⇒ ∠P+∠S=60

o

+120

o

=180

o

⇒ ∠Q+∠R=80

o

+100

o

=180

o

∴ PQ∥RS

Step-by-step explanation:

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Answer 2

Answer:

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