Find the measure of each marked angle. In Exercises 19–22, m and ...

Question

Find the measure of each marked angle. In Exercises 19–22, m and n are parallel. See Examples 1 and 2 .

Accepted Answer

Find the values for the indicated angles from the given relations. What we notice here we have a triangle with different angles and we have four possible answers being angle measures of A B and AC Q all in degrees. Now, to solve this, we first need to make note of one of our relationships. This tells us that if we have two angles A and B and they are opposite exterior angles of the exterior angle, AC Q, they should be equal to each other. In other words, the sum of A and B should be equals to angle AC Q. Now we can go ahead and solve for X A is negative seven, XX B is negative five X plus seven. This should equal angle AC Q which is 10 minus 11 X. We can solve, we have negative seven X minus five X to give us negative 12 X and we can bring it down the other side. And now we can add 12 X. This gets the X on the other side, we have seven equals 10 plus X subtracting 10 from both sides gives us X as equals to negative three. Now we can plug this X back in to find all of our angles, we have angle A is equals to negative seven multiplied by negative three. To get 21 degrees. Angle B will be negative five multiplied by negative three plus seven, which gives us 22 degrees. And finally, angle AC Q will be equals to 10 minus multiplied by negative three. This gives us 43 degrees. We now have the answer to our problem. A equals 21. B equals 22. AC Q equals 43. This means the answer to our problem is answer C OK. I hope to help you solve the problem. Thank you for watching. Goodbye.

Find the measure of each marked angle. In Exercises 19–22, m and n are parallel. See Examples 1 and 2 .

Key Concepts

Parallel Lines and Transversals

Angle Relationships

Angle Measurement

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