SOLUTION: In the diagram, Angle A = 40° while BD and CD are the bisectors of
angles EBC and FCB respectively. Find the measure of angle D.
https://ibb.co/2My3RKd
Thanks!
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-> SOLUTION: In the diagram, Angle A = 40° while BD and CD are the bisectors of
angles EBC and FCB respectively. Find the measure of angle D.
https://ibb.co/2My3RKd
Thanks!
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Question 1199998: In the diagram, Angle A = 40° while BD and CD are the bisectors of
angles EBC and FCB respectively. Find the measure of angle D.
https://ibb.co/2My3RKd
Thanks! Found 2 solutions by ikleyn, MathTherapy:Answer by ikleyn(52778) (Show Source):
You can put this solution on YOUR website! .
In the diagram, Angle A = 40° while BD and CD are the bisectors of
angles EBC and FCB respectively. Find the measure of angle D.
https://ibb.co/2My3RKd
Thanks!
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The sum of angles ABC and ACB is 180° - 40° = 140°.
The angles EBC and FCB are outer angles of the triangle ABC to angles ABC and ACB, respectively.
Therefore, the sum of angles EBC and FCB is
(180°- < ABC) + (180° - < FCB) = 360° - 140° = 220°.
Angles CBD and DCB are halves of angles EBC and FCB;
therefore, < CBD + < DCB = 220°/2 = 110°.
It implies that angle D is 180° - 110° = 70°. ANSWERANSWER. The angle D measure is 70°.
You can put this solution on YOUR website!
In the diagram, Angle A = 40° while BD and CD are the bisectors of
angles EBC and FCB respectively. Find the measure of angle D.
https://ibb.co/2My3RKd
Thanks!
Let ∡ACB be xo
Then ∡ABC = 180 - (40 + x) = (140 - x)o
Therefore, ∡FCB = (180 - x)o, and ∡EBC = 180 - (140 - x) = (40 + x)o
As BD bisects ∡EBC, ∡DBC =
Likewise, since DC bisects ∡FCB, ∡DCB =
Thus ∡D =
