Question

11. From the figure find x and y.
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Answer 1

Answer:

y = 11°

x = 63°

Step-by-step explanation:

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Answer 2

AnSwer :

From the figure,

• ∠ABC = ∠BCD = 52° (Alternate angles)

We know that, sum of all angles of a traingle = 180°

Therefore, in ∆ABC,

➟ x + 65° + 52° = 180°

➟ x + 117° = 180°

➟ x = 180° – 117°

➟ x = 63°

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Again from the figure we can see that,

• ∆BCD is a right-angled triangle.
• Therefore, ∠BDC = 90°

°•° Sum of all angle of a triangle = 180°

Therefore, in ∆BCD,

➟ (3y + 5)° + 52° + 90° = 180°

➟ 3y + 147° = 180°

➟ 3y = 180° – 147°

➟ 3y = 33°

➟ y = ³³⁄₃

➟ y = 11°

•°• Required values are 63° and 11°.