What is the measurement of the unknown angle?

To find the angle, we need to find the angles inside of the triangle. The triangle is formed from the two lines with angles 127 and 146 at the base. It is surrounded by the 127, 146 and the ? angle.

We know that the line at the base is 180, so we need to find the supplementary angles that correspond to 127 and 146.

180-127= 53

180-146=34

We now know the two bottom angles inside the triangle are 53 and 34 degrees. The angles in a triangle always add up to 180 degrees.

180-53-34=93

We know the top angle is 93 degrees. The ? angle is vertical to 93. Vertical angles are always congruent. That means ? is 93 degrees

altavistard altavistard · Answer 2 · 2020-08-22T01:05:58+02:00

Answer:

93 degrees

Step-by-step explanation:

Focus on the small triangle at the lower right.

The supplement of the 127 degree angle is (180 - 127) degrees, or 53 degrees. The supplement of the 146 degree angle is (180 - 146) degrees, or 34 degrees.

The interior angles of this small triangle must add up to 180 degrees. The third angle of this small triangle is the "vertical angle" of the unknown angle:

? + 53 + 34 = 180, so: ? = 93

The unknown angle is now known to be 93 degrees.