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zvonat [6]
1 year ago
9

PLEASE HELP THE SEMESTER IS ENDING IN 2 WEEKS AND IF I DONT COMPLETE THIS IM GOING TO FAIL ;(( ILL MARK BRAINLIEST

Mathematics
1 answer:
EleoNora [17]1 year ago
6 0

The angles m∠ABC = (3·x - 2)° and m∠ABD formed by the ray \overrightarrow{BA}, which is an angle bisector of angle m∠CBD = (5·x + 18)°, indicates that m∠ABD is 64°

<h3>What is an angle bisector?</h3>

An angle bisector is a line, segment or ray that divides an angle into two congruent angles.

The information in the question are;

The ray that bisects ∠CBD = \overrightarrow{BA}

The measure of angle, m∠CBD = (5·x + 18)°

The measure of angle, m∠ABC = (3·x - 2)°

Therefore;

(5·x + 18)° = 2 × (3·x - 2)° (definition of angle formed by an angle bisector)

(5·x + 18)° = (6·x - 4)°

(6·x - 5·x)° = (18 + 4)°

x = 22°

m∠CBD = m∠ABD + m∠ABC  (angle addition postulate)

m∠ABD = m∠ABC (angles formed by angle bisector \overrightarrow{BA})

m∠ABC = (3·x - 2)°

Therefore; m∠ABC = (3 × 22 - 2)° = 64°

m∠ABD = m∠ABC = 64°

Learn more about the angle addition postulate here:

brainly.com/question/4208193

#SPJ1

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