Math, asked by rohit0919, 11 months ago

In the given figure, MN is parallel to PR, ✓LBN=70° and AB=BC. the value of angle ABC will be?? ​

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Answers

Answered by aishwaryashree3
26

angle LBN=MBA=70

angle MBL=180-70=110

angle MBL=FAB=110

then BAC=ACB=70(isoceles triangle)

70+70+ABC=180

140+ABC=180

ABC=180-140

ABC=40

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Answered by Nereida
13
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✳GIVEN:-

✔MN||PR

✔ANGLE LBN=70°

✔AB=BC

✳TO FIND:-

MEASURE OF ANGLE ABC

✳ANSWER:-

✔ AS AB=BC,

TRIANGLE ABC IS ISOSCELES.

THEREFORE ,

ANGLE BAC=ANGLE BCA..... (1)

✔NOW AS , MN||PR

AND AL IS A TRANSVERSAL,

ANGLE LBN=ANGLE BAC..... (2)

(ALTERNATE INTERIOR ANGLES)

✔BY (1) AND (2),

ANGLE LBN=ANGLE BAC= ANGLE BCA i.e. 70°

✔ANGLE SUM PROPERTY OF A TRIANGLE IS 180°

THEREFORE,ABC=180-(BAC+BCA)

ABC=180-(140)

↩ ANGLE ABC=40°

HOPE IT HELPS UHH

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