Question

21. ABCD is a square. triangle PAB is an equilateral
triangle. Find x and y. PLEASE answer it ​

Answer 1

Answer:

x⁰=15

Y⁰=75⁰

Step-by-step explanation:

pab = 60⁰ || apb is an equilateral triangle ||

Bad=90⁰ (abcd is a square)

Now,

Pab +bad =150⁰

Pad=150⁰.....(1)

Then,in triangle pda

Adp+apd+pda=180⁰

Adp +apd=30⁰......(2)

Now,

Ab and ad are equal lines because they are of same square.

Then adp and apd are equal by theorm angle opp. To equal sides are equal.

Then, adp =apd......(3)

Now apd +adp =30

And 2(apd)=30 ....(from 2)

Apd=15⁰=x⁰=adp...(4)

Adp+pdc=adc

15⁰+pdc=90⁰...(all angles of square are right angles)

Pdc=90-15

Pdc=75⁰=y

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