Question

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 extends through point F. Which angle’s measure is equal to the sum of the measures of ∠BAC and ∠BCA? ∠CBA ∠CBE ∠DAC ∠BCF

Answer 1

Angle’s measure is equal to the sum of the measures of ∠BAC and ∠BCA is ∠ CBE.

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.