Question

in the given figure ,a line m//n.find measure of each angle please answer fast​​​

Answer 1

Your Solution:

As m||n,

(x - 8)° + (5x - 4)° = 180° [Sum of 2 Interior angles in same side of transversal is 180°]

» x + 5x - 8 - 4 = 180

» 6x - 12 = 180

» 6x = 192

» x = 192/6

» x = 32°

So, (x - 8)° = 24°

(5x - 4)° = 156°

I Hope you got it

Happy Learning :D

Answer 2

Explanation:

As It is given that m is parallel to n (m || n),

So the Equation will form as (5x - 4) + (x - 8) = 180° although the angles given as an interior angle where they are in same side of transversal cutting this parallel lines i.e., m and n sum will be a straight angle i.e., 180°.

Solving the Equation:

(5x - 4) + (x - 8) = 180°

》5x + x - 12 = 180°

》6x = 180 + 12

》x = 32°

Therefore The angles formed are -:

x - 8 = 24°

5x - 4 = 156°

Hence the angles are 24° and 156°.

I hope you understood

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