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Please help it’s due today!!!

Please help it’s due today!!!-example-1
User Josivan
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1 Answer

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Answer:

(a.): m∠ ACB = 40°; (b.): m ∠CBA = 25°; (c.): m ∠CAB = 115°

Explanation:

Because Lines AB and DE are parallel, we can use the angle relationships to find the angles.

(For context of the problem, we can label the 40° angle as ∠C and the 155° as ∠B)

(a.) Angles C and ACB are vertical angles, which means they're congruent. Thus m ∠ACB = 40°.

(b.) AB is a straight line and angles B and CBA are supplementary angles. This means their total sum is 180°. We need to subtract angle B from 180 to find m ∠CBA:


180-155=CBA\\25=CBA

(c.) We know that the sum of all the angles is 180°. Thus, we can subtract the sum of angles CBA and CBA from 180 to find the m ∠CAB:


180-(40+25)=CAB\\180-65=CAB\\115=CAB

User Masimplo
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