Question

12. In Fig. 6.126 AB I CD, PQ I BC, ZBAC = 52° and
DRS = 43°. Find the value of x.
52
P
s
B
с​

Answer 1

Answer:

Answer is 60°

Step-by-step explanation:

Let, extended BC ends at point M.

Given, ∠DGH=40

∘

Thus, ∠DCM=∠DGH=40

∘

(Corresponding angles of parallel lines EH and BM)

Also, ∠ABC=∠DCM=40

∘

(Corresponding angle of parallel lines CD and AB)

Now, in △ABC,

∠ABC+∠ACB+∠BAC=180

∘

40

∘

+60

∘

+∠ACB=180

∘

∠ACB=80

∘

Now, ∠ACB+∠ACD+∠DCM=180

∘

80

∘

+∠ACD+40

∘

=180

∘

∠ACD=60

∘ . Please mark me as brainliast. Hope it helps.

Answer 2

Step-by-step explanation:

A

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