Question

Carrie drew two acute non-overlapping angles that share a ray and labeled them LADB and LBD The two angles have the same whole number measure. What is the least possible measure of LAD What is the greatest possible measure of LADC? O A. least: 2° greatest: 88°Carrie drew two acute non-overlapping angles that share a ray and labeled them LADB and LBD The two angles have the same whole number measure. What is the least possible measure of LAD What is the greatest possible measure of LADC?

Answer 1

B. least 2°; greatest 178°

Explanation:

The measure of ∠ADC will be the sum of the measures of the two acute angles ADB and BDC.

__

Each acute angle with a measure that is a whole number of degrees will have a measure between 1° and 89°, inclusive.

The least sum of two such angles will be ...

1° +1° = 2°

The greatest sum of two such angles will be ...

89° +89° = 178°