The exterior sides of two adjacent angles make a right angle. The first angle has a measure that is 3 more than half of the second. What are the measures of both angles?

Answer 1

We have two adjacent right angles, which are supplementary - thus they add to 180

second angle = x

first angle = 1/2x + 3

total 180

x + 1/2x + 3 = 180

3/2 x = 177

x = 177 * 2/3 = 118

1/2 x + 3 = 1/2(118) + 3 = 62

two angles are 118 and 62