Question

find the value for x,y
plsz help me friends(guys)​

Answer 1

Answer:

x=80° ,y=105°

Step-by-step explanation:

To solve this problem we need to know below property

In a triangle exterior angle is equal to sum of two opposite interior angles

so for ∆DBC exterior angle is x and two opposite interior angels are 30 and 50 so

x=30°+50°

x=80°

Similarly in ∆ beside ∆DBC exterior angle is y and interior opposite angles are x and25 but x=80 so

y=80+25

THEREFORE YOUR ANSWERS ARE x=80° and y=105°

I hope you are satisfied by my answer

y=105

Answer 2

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find the value for x,y

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$sum \: of \: angles \: in \: a \: triangle = 180$

$in \: triangle \: DBC$

$\angle D+\angle B +\angle C=180$

$30°+\angle B+50°=180°$

$80+\angle B=180$

$\angle B=180-80$

${\boxed {\boxed {\angle B=100°}}}$

$\angle ABD=x$

$\angle ABD+\angle DBC=180°———(adjacent\: angles)$

$x+100=180$

$x=180-100$

${\boxed {\boxed {x=80°}}}$

$in \: triangle \: ABE$

$\angle A+\angle B+\angle E=180°$

$25°+80°+\angle E=180°$

$75+\angle E=180$

$\angle E=180-75$

${\boxed {\boxed {\angle E=105°}}}$

$\angle AED+\angle AEB=180°———(adjacent\: angles)$

$y+105=180$

$y=180-105$

${\boxed {\boxed {y=75°}}}$

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