Triangle A B C is shown with its exterior angles. Line B A extends through point D. Line A B extends through point E. Line A C e
xtends through point F. Which angle’s measure is equal to the sum of the measures of ∠BAC and ∠BCA? ∠CBA ∠CBE ∠DAC ∠BCF
2 answers:
Answer:
Angle’s measure is equal to the sum of the measures of ∠BAC and ∠BCA is ∠ CBE.
Step-by-step explanation:
Exterior Angle of a Triangle Property:
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
Here,
The exterior angle of a triangle = ∠ CBE
For the given angles Sum,
∴ m∠ CBE = m∠ BAC + m∠ BCA
Angle’s measure is equal to the sum of the measures of ∠BAC and ∠BCA is ∠ CBE.
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