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

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inchu420 inchu420 · Answer 1 · 2019-12-18T10:29:04+01:00

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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shivishivangi1679 shivishivangi1679 · Answer 2 · 2022-07-04T11:37:07+02:00

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

An exterior angle of a triangle states the sum of the opposite interior angles is equal to the exterior angle of the triangle.

The exterior angle of a triangle = ∠ CBE

For the given angles,

∴ m∠ CBE = m∠ BAC + m∠ BCA

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

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