In the given figure- AB - CD- EH - BC- angle BAC - 60-circ- and angle DGH - 40-circ- Find the measures of angle AEF -36-o40-o46-onone of the above

Question

In the given figure- AB - CD- EH - BC- angle BAC - 60-circ- and  angle DGH - 40-circ- Find the measures of angle AEF -36-o40-o46-onone of the above

Toppr Admin · Accepted Answer

Given- -x2220-DGH-40-x2218-Since-xA0-AB-x2225-CD-x27F9- AE-x2225-DG-By corresponding angles axiom-x2220-AEF-x2220-DGH-40-x2218-Hence- option B is correct-

In the given figure, AB // CD, EH // BC, $∠ B A C = 60^{\circ}$ and $∠ D G H = 40^{\circ}$ . Find the measures of $∠ A E F$ .

$36^{o}$
$40^{o}$
$46^{o}$
none of the above

Given, $∠ D G H = 40^{\circ}$ .

Since $A B ∥ C D$ ,
$⟹$ $A E ∥ D G$ .

By corresponding angles axiom,
$∠ A E F = ∠ D G H = 40^{\circ}$ .

Hence, option $B$ is correct.

In the given figure, AB // CD, EH // BC, ∠BAC=60∘ and ∠DGH=40∘. Find the measures of ∠AEF .36o40o46onone of the above

Given, ∠DGH=40∘.Since AB∥CD,⟹ AE∥DG.By corresponding angles axiom,∠AEF=∠DGH=40∘.Hence, option B is correct.

In the given figure, AB // CD, EH // BC, $∠ B A C = 60^{\circ}$ and $∠ D G H = 40^{\circ}$ . Find the measures of $∠ A E F$ .

$36^{o}$
$40^{o}$
$46^{o}$
none of the above

Given, $∠ D G H = 40^{\circ}$ .

Since $A B ∥ C D$ ,
$⟹$ $A E ∥ D G$ .

By corresponding angles axiom,
$∠ A E F = ∠ D G H = 40^{\circ}$ .

Hence, option $B$ is correct.