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09-08-2020
Mathematics

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in the diagram, POS,QOT and UOR are straight lines. Find the value of y.

in the diagram POSQOT and UOR are straight lines Find the value of y class=

Respuesta :

09-08-2020

Answer:

y = 15°

Step-by-step explanation:

Since ∠QOR and ∠UOT are vertical, they are congruent so ∠UOT = 5y. Since POS is a straight line (which has a measure of 180°) and ∠POS = ∠POU + ∠UOT + ∠TOS, we can write:

5y + 5y + 2y = 180

12y = 180

y = 15°

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