Question

Suresh sketched three triangles as shown below. answer the following-- (i) He said that the value of x is 50 more than a right angle. Is his statement true? (ii) The value of y is 100 more than the value of an angle of equilateral triangle. Is this statement true? (iii) Suresh said that his mother’s age in year is same as value of z in degrees. What will be his mother’s age? (iv) The value of x+y+z is same as the angle turned by minutes hand in 1 hour? Is this statement true?


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Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

The answers are i) True, ii) False iii) 35 iv) False

• i) The value of x is 180⁰-(30+55)⁰= 180⁰-85⁰= 95⁰ which is 5⁰ greater than a right angle (90⁰). Hence, the given statement is true.
• The value of y is 180⁰-(90+40)⁰= 50⁰ which is 10⁰ less than the angle of an equilateral triangle. Hence, the given statement is false.
• The value of z is 180⁰-(98+47)⁰= 35⁰. Hence, Suresh's mother's age is 35 years.
• The value of x+y+z= 95⁰+50⁰+35⁰= 180⁰ which is not equal to the angle turned by minutes hand in 1 hour (360⁰). Hence, the given statement is false.

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