Question

19. If AB || CD. EF bisects CD and angleGED = 135° as per the figure given below.The
value of angleFGE is:
O 55
O 135
O 45
O 65​

Answer 1

Answer:

AB//CD and Angle FED=Angle GFE (alt.int.angles)

Angle GFE = 90°

angle GED = angle FED+angle GEF

=>135°=90°+angle GEF

=>angle GEF=45°

In triangle GEF,

angle GEF+Angle GFE+angleFGE=180°(A.S.P)

=>45°+90°+angleFGE=180°

=>angleFGE=45°

Answer 2

Answer:

Q. IF If AB || CD. EF bisects CD and angleGED = 135° as per the figure given below.The

value of angle AGE = 135 degre

Step-by-step explanation:

<GED = 135 DEGREE

THEREFORE, <AGE IS THE ALTERNATE INTERIOR ANGLE OF < GED,

SO,GED = 135 DEGREE

OR

<GED AND <EGF ARE CO-INTERIOR ANGLES ( EQUAL TO 180 DEGREE)

THEREFORE, 135 DEGREE + <EGF = 180 DEGREE (CO-INTERIOR ANGLE)

<EGF= 45 DEGREES,

NOW, <EGF+,AGE =180 DEGREE, (LINEAR PAIR)

THEREFORE, ANGLE AGE = 135 DEGREES