Question

Solve:- Lines Ac And Bd Intersect At Point P. M. Of L ADP =35°. Find The Measure Of L APB=?​

Answer 1

Answer:

Ok answer is below

Step-by-step explanation:

Given: PA=6 cm, PB=3 cm, PC=2.5 cm, PD=5cmPD PA=56

PC PP= 2.53= 56

Thus, PDPP= PCPPB

In △APB and △DPC,PDPP= PCPP...Given

∠APB=∠DPC ...Vertically opposite angles.

Hence, △APB∼△DPC....S.A.S test of similarity

Hence, ∠A=∠D=30

oNow, In △APB,

Sum of angles =180

o∠A+∠B+∠APB=180

30+50+∠B=180

o∠B=100∘

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