A geometric figure has angles with the following measurements: 34° , 105° , 146° , 97° . Which two angle measure correspond to a supplementary pair? List the measure of the smaller angle first and the measure of the larger angle second.
The sum of two supplementary angles is 180°. To find the two angles that form a supplementary pair, we need to see which two angles have a sum of 180°.
To find the two angles, we can start by checking the first angle, 34°. 180° - 34° = 146°. So, 34° and 146° form a supplementary pair.
Next, let's check the second angle, 105°. 180° - 105° = 75°. Since none of the given angles are 75°, this angle does not form a supplementary pair with any of the other angles.
Now, let's check the third angle, 146°. We already found that 34° and 146° form a supplementary pair.
Finally, let's check the fourth angle, 97°. 180° - 97° = 83°. Since none of the given angles are 83°, this angle does not form a supplementary pair with any of the other angles.
So, the two angle measures that correspond to a supplementary pair are: 34° and 146°.