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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aishwaryashree3:
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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
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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°
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