In Figure, AB $| |$ CD and EF is a transversal. Find the measure of all the other angles that are formed.

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Solution

$A B | | C D$
$E F$ is transversal
$∠ A G E = 45^{\circ} ∠ E G B + 45 = 180 ⟹ ∠ E G B = 135^{\circ} ∠ A G H = 135^{\circ} ⟹ ∠ G H C = 45 ∠ G H D = 135 ∠ D H F = 45 ∠ F H C = 135 ∠ G H C = 45$

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Similar questions

$in the given figure, A B | | C D a n d E F is a transversal, cutting them at G and H respectively. if ∠ E G B = 35^{\circ} a n d Q P ⊥ E F, find the measure of ∠ P Q H .$

Q. In the given figure, AB || CD and EF is a transversal, cutting them at G and H respectively. If ∠EGB = 35° and QP ⊥ EF, find the measure of ∠PQH.

Q. Identify the angles given in the figure.

Assume that

A B ∥ C D

and EF is transversal.

\leftarrow \to A B

\leftarrow \to C D

in the following figure.

\leftarrow \to X Y

is the transversal. If

m ∠ P Q A = 140^{o}

, find the measure of remaining angles:

In the given figure $C D ∥ E F$ and $A B$ is a transversal, and $∠ D G H = 2 x$ and $F H B = 5 x - 51$ degree.

Find the measure, in degrees, of $∠ B H E$

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In Figure, AB||CD and EF is a transversal. Find the measure of all the other angles that are formed.

AB||CDEF is transversal ∠AGE=45∘∠EGB+45=180⟹∠EGB=135∘∠AGH=135∘⟹∠GHC=45∠GHD=135∠DHF=45∠FHC=135∠GHC=45

In Figure, AB $| |$ CD and EF is a transversal. Find the measure of all the other angles that are formed.

$A B | | C D$
$E F$ is transversal
$∠ A G E = 45^{\circ} ∠ E G B + 45 = 180 ⟹ ∠ E G B = 135^{\circ} ∠ A G H = 135^{\circ} ⟹ ∠ G H C = 45 ∠ G H D = 135 ∠ D H F = 45 ∠ F H C = 135 ∠ G H C = 45$