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Find and label the measures of each of the three missing angles, A, B and C, below.
Lines I and M are parallel.

Find And Label The Measures Of Each Of The Three Missing Angles A B And C Below Lines I And M Are Parallel class=

Sagot :

belali

Hello, the detailed solution is given below.

Lines L and M are parallel. That's why [tex]B[/tex] angle and [tex]50^{o}[/tex] are equal.

What's the Co-Interior Rule? (Known as U Rule)

Co-interior angles lie between two lines and on the same side of a transversal. If the two lines are parallel, then co-interior angles add to give [tex]180^{o}[/tex] and so are supplementary.

After that, [tex]C[/tex] angle found as [tex]85^o[/tex].

As [tex]A[/tex] angle and [tex]C[/tex] angle must be equal due to the parallel, the missing angles as;

[tex]A=85\\B=50\\C=85[/tex]

Good luck! If you have any questions, then feel free to ask in comments!

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