Question

x degree ,y degree and z degree are three angles lying on a straight line.

i. If y degree = 45 degree and z = 86 degree, find the value of x.

ii. If x degree = 2 y degree and z degree= 3 y degree, find the value of y.

Answer 1

Answer:

1)49°. 2)30°

Step-by-step explanation:

1) given,

y°=45°;z°=86°;x°=?

therefore,x°+y°+z°=180°.

[angle sum property]

=x°+45°+86°=180°

=x°+131°=180°

=x°=180°-131°

=x=49°

2)given,

x°=2y°;y°=?;z°=3y°

therefore,x+y+z=180

[angle sum property]

=2y+y+3y=180

=6y=180

=y=180/6

=y=30

Thank you

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