Question

आकृती मध्ये जर किरण BA ║ किरण ∠E, ∠C = 50° आणि ∠D = 100°, तर ∠ABC चे माप काढा. (सूचना : बिंदू C मधून रेषा AB ला समांतर रेषा काढा.)

Answer 1

DRAW A LINE XY PARALLEL TO AB (1)

GIVEN : AB PARALLEL TO DE (2)

SO,

FROM ( 1) AND (2)

XY PARALLEL TO DE,

ANGLE EDC = ANGLE DCX

(ALTERNATE INTERIOR ANGLE)

SO, DCB +BCX =100°

50° +BCX =100° (GIVEN DCB =50°)

BCX = 50°

ALSO,

BCX+DCB+DCY=180°

( LINEAR PAIR ANGLE)

DCY =180°- 50°-50°

DCY=80°

ALSO,

ABC = BCY

(ALTERNATE INTERIOR ANGLE BECAUSE

AB PARALLEL TO XY)

ABC = 130°

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