Question

Please tell fast.
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Answer 1

Answer:

64°+12y+8=180

80+12y=180

12y=180-80

12y=100

y=100/12

Answer 2

Answer:

y = 9°

Step-by-step explanation:

Given that PT = AR

So, given trapezium is isosceles trapezium

In isosceles trapezium, two pairs of adjacent angles are equal

So, ∠P = ∠A = 64°

Now, consider the parallel lines AP and RT and AR as transversal

∠A + ∠R = 180 [Interior angles on same side of transversal]

⇒ 64 + 4(3y+2) = 180

⇒ 64 + 12y + 8 = 180

⇒ 12y + 72 = 180

⇒ 12y = 180 - 72

⇒ 12y = 108

⇒ y = 108/12

⇒ y = 9°

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