Question

Help please and thank you!!!

Answer 1

115°

Explanation:

m∠ABC = 180° - 125° = 55° (angles in a straight line add up to 180°)

Given that m∠CAB = 60°,

Then m∠ACR = m∠CAB + m∠ABC (exterior angle is equal to the sum of opposite interior angles).

m∠ACR = 60° + 55° = 115°

Answer 2

Hello!

So, let's go over some information we know. We know that all the interior angles of a triangle add up to 180 degrees. We know that a line measures 180 degrees. We, therefore, know that angles which make up a line are supplementary, and must add up to 180 degrees.

So, first, we can find angle ABC. We can find this because angle ABC and ABT add up to 180 degrees, and we know the measure of ABT to be 125 degrees. Therefore:

ABC + 125 = 180

ABC = 55 degrees

Now, we can find angle ACB. We can find this as we have angle ABC and CAB, and angle ACB + ABC + CAB = 180 degrees (as they are the three interior angles of triangle ABC). ABC measures 55 degrees, and CAB 60 degrees. Therefore:

55 + 60 + ACB = 180

115 + ACB = 180

ACB = 65 degrees

Finally, we can find angle ACR based off of ACB, as ACB and ACR make up one line, and, therefore, add up to 180 degrees. ACB measures 65 degrees.

ACR + 65 = 180

ACR = 115 degrees

Therefore, your answer is choice 2, or 115 degrees.

Hope this helps!