Question

3 lines are shown. A line with points C, A, F intersects a line with points E, A, B at point A. A line extends from point A to point D in between angle E A F. Angle C A E is 61 degrees, angle D A F is 90 degrees, and angle F A B is 61 degrees. Find the following angle measures. mAngleEAD = ° mAngleCAB =

Answer 1

Answer:

$m\angle EAD=29^{\circ}$ and $m\angle CAB=119^{\circ}$

Step-by-step explanation:

It is given that $m\angle CAE=m\angle FAB =61^{\circ}$

and $m\angle DAF=90^{\circ}$

To find: $m\angle EAD\ and\ m\angle CAB$

Now, since Line CAF and EAB intersect each other therefore,

$m\angle CAB=m\angle EAF$  (vertically opposite angles are equal) ...(1)

Now, $m\angle BAC+\angle EAC = 180 ^{\circ}$  (Sum of linear pair)

$m\angle CAB= 180 ^{\circ}-m\angle EAC$

$m\angle CAB= 180 ^{\circ} -61^{\circ}=119^{\circ}$

Now From eq. (1)

$m\angle CAB=m\angle EAF =119^{\circ}$  (vertically opposite angles are equal)

$m\angle EAF= m\angle EAD+m\angle DAF$

$m\angle EAD= m\angle EAF-m\angle DAF$

$m\angle EAD= 119^{\circ}-90^{\circ}=29^{\circ}$

       

Answer 2

Answer:

EAD = 29°

CAB = 119°

Step-by-step explanation:

On ED :)