The angle ABC is 72 degrees ray BD bisector of angle ABC ray BE bisector of angle ABD Calculate the value of angle CBE.
| August 15, 2021 | education
BD is the bisector of angle ABC, it divides the angle ABC into two equal angles:
∠ABD = ∠ CBD = ∠ ABC / 2 = 72 ° / 2 = 36 °.
BE is the bisector of angle ABD, it divides it into two equal angles:
∠ ABE = ∠ DBE = ∠ ABD / 2 = 36 ° / 2 = 18 °.
The CBE angle we need consists of two angles: CBD and DBE.
∠CBE = ∠ CBD + ∠ DBE = 36 ° + 18 ° = 54 °.
Answer: CBE angle 54 °.
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