In angle PQR angle P = 80 .If PQ =PR find angle Q and angle R -Maths 9th

In angle PQR angle P = 80 .If PQ =PR find angle Q and angle R -Maths 9th
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a triangle includes 3 angles summing up as 180° so 180 = <p + <q+ <r       -------- (1)  and here <p=80° <q +<r=pq+pr also pq=pr                  (given) so, <q =<r = a       ---------------- (2) from (1) and (2) <p +<q +<r =180° 80° + a + a =180° 2a = 180-80 a=100/2 a=50 so <p = <q =50°
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Last Answer : Given In quadrilateral ABCD, P, Q, R and S are the mid-points of the sides AB, BC, CD and DA, respectively. Also, AC = BD and AC ⊥ BD. To prove PQRS is a square. Proof Now, in ΔADC, S and R are the mid-points of the sides AD and DC respectively, then by mid-point theorem,

If P, Q and R are the mid-points of the sides, BC, CA and AB of a triangle and AD is the perpendicular from A on BC, then prove that P, Q, R and D are concyclic. -Maths 9th

Description : If P, Q and R are the mid-points of the sides, BC, CA and AB of a triangle and AD is the perpendicular from A on BC, then prove that P, Q, R and D are concyclic. -Maths 9th

Last Answer : According to question prove that P, Q, R and D are concyclic.

ABCD is a parallelogram in which P and Q are the mid-points of opposite sides AB and CD (Fig. 8.48). If AQ intersects DP at S and BQ intersects CP at R, show that -Maths 9th

Description : ABCD is a parallelogram in which P and Q are the mid-points of opposite sides AB and CD (Fig. 8.48). If AQ intersects DP at S and BQ intersects CP at R, show that -Maths 9th

Last Answer : Solution :-