Question

3. find the values of x and y in each of the following figures:

Values of i) is 30, 55, y and x
ii) 66, x, y
iii) 35, y, x
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Answer 1

Answer:

1)sum of all angles in a triangle =180 degree

• so 30+55+y=180 degree
• 85+y=180 degree
• y=180-85
• y=95 degree

• x+y=180 (angle of straight line)
• x=180-95
• x=85 degree

• 2) x=66(alternate interior angles are equal)
• the other angle as z in the triangle
• y=the other exterior angle
• so x+y+z=180
• 66+2y=180(let us take y=z)
• 180-66÷2=y
• y=57
• x+y+z=180
• 66+57+z=180
• z=180-123
• z=57

Answer 2

Answer:

35+55+x=180₹+₹+₹;₹!₹()!+;;;;;bbbjsbjdnjxbski