Question

if AB||PQ , then find the value of 2(y-x)​

Answer 1

Answer:

here is your answer!!!!!!

Step-by-step explanation:

It is given that AB || P Q and EF is a

transversal

from the figure we know that ZCEB and

ZEF Q are corresponding angles

so we get

<CEBZEF Q = 75°

it can be written as

ZEF Q = 75°

where

ZEFG+ZGFQ = 75°

by substituting the values

25° + y = 75°

yo = 50⁰

from the figure we know that <BEF and ZEF Q are consecuting interior angles

so we get

<BEF+ ZEF Q = 180°

by substituting the values

ZBEF+75° = 180°

ZBEF 105°

we know that /BEF can be writte as ZBEFZFEGZGEB

105° ZFEG + 20°

ZFEG 105⁰ - 20⁰ZFEG 85⁰

According to the AEF G we can write

xo+25°+ZFEG = 180°

by substituting the values x+25° +85° = 180°

xo = 70°

therefore the value of x is 70

I hope it may help you

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