205k views
17 votes
An angle measures 1.2° more than the measure of its complementary angle. what is the measure of each angle?

User Bensiu
by
5.9k points

1 Answer

7 votes

Answer:

44.4°

Explanation:

Two complementary angles add up to 90°. Let's call one of the two x, and the second 90-x (in fact,
x+(90-x) = 90).

At this point we can use the second condition: the first angle, plus 1.2°, is equal to the complementary.


x+1.2=90-x \rightarrow 2x=88.8 \rightarrow x = 44.4

User Jan Decaluwe
by
6.2k points