If AB and CD are parallel lines and EH is the transversal, then find the measure $∠$ EFB.

106°

No worries! We‘ve got your back. Try BYJU‘S free classes today!

116°

No worries! We‘ve got your back. Try BYJU‘S free classes today!

126°

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

136°

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 126°
Given, $∠$ HGD = 54°

$∠$ GFB = $∠$ HGD = 54° (Corresponding angles)

$∠$ GFB + $∠$ EFB= 180° (Linear Pair)
54° + $∠$ EFB = 180°
$∠$ EFB = 180° - 54°
$∴ ∠$ EFB = 126°

Suggest Corrections

Similar questions

Q. In the following figure, if AB ∥ CD and EH is a transversal, what will be the measure of

∠ A F G

Q. Line AB || line CD || line EF and line QP is their transversal. If y : z = 3 : 7 then find the measure of

∠

(a) Lines AB & CD are parallel. Find out the alternate, corresponding, co-interior & vertically opposite angles.

(b) (i)

l and m are parallel lines and t is the transversal. Find x

(ii)

l and m are parallel lines and t is the transversal. Find x.
[4 MARKS]

(a) Lines AB & CD are parallel and cut by a transversal t. List the alternate, corresponding, co-interior and vertically opposite angles.

(b) (i)

l and m are parallel lines and t is the transversal. Find x

(ii)

l and m are parallel lines and t is the transversal. Find x.
[4 MARKS]

In the adjoining figure, and are parallel lines. The transversals and intersect at U on the line. Given that ∠DWU = 110° and ∠CVP = 70°, find the measure of ∠QUS.

Join BYJU'S Learning Program

If AB and CD are parallel lines and EH is the transversal, then find the measure ∠EFB.

The correct option is C 126° Given, ∠HGD = 54° ∠GFB = ∠HGD = 54° (Corresponding angles) ∠GFB + ∠EFB= 180° (Linear Pair) 54° + ∠EFB = 180° ∠EFB = 180° - 54° ∴∠EFB = 126°

If AB and CD are parallel lines and EH is the transversal, then find the measure $∠$ EFB.

The correct option is C 126°
Given, $∠$ HGD = 54°

$∠$ GFB = $∠$ HGD = 54° (Corresponding angles)

$∠$ GFB + $∠$ EFB= 180° (Linear Pair)
54° + $∠$ EFB = 180°
$∠$ EFB = 180° - 54°
$∴ ∠$ EFB = 126°