Thread: Find the measure of Angle x?

What is the measurement for that angle x?

Explain if you can PLEASE.

Thank you

By the "vertical angles" theorem, when two lines cross, angles opposite one another have the same measure. So one of the angles inside the triangle is also x. Another angle in the triangle has measure 60 for the same reason and the third is "supplementary" to an angle with measure 140 so it has measure 180- 140= 40 degrees. Of course, the angle in the triangle must sum to 180 degrees. Can you find x now?

Originally Posted by hellotarina

What is the measurement for that angle x?

Explain if you can PLEASE.

you need to use the following facts ...

1. a linear pair is supplementary
2. vertical angles have equal measure
3. the sum of the angles of any triangle is 180 degrees

Is this right? x=40 or look at pic

Originally Posted by hellotarina

Is this right? x=40 or look at pic

No I'm afraid not.

From you diagram you can see one angle is is 40, one is 63. Using the internal angle fact about triangles provided above, this means that the last internal angle, and therefore x, is...