Share
The difference of complementary angles is 10⁰. Find the measures of the angle.
Question
The difference of complementary angles is 10⁰. Find the measures of the angle.
in progress
0
Mathematics
3 years
2021-08-27T11:36:21+00:00
2021-08-27T11:36:21+00:00 2 Answers
11 views
0
Answers ( )
Answer:
40° and 50°
Step-by-step explanation:
Complementary angles sum to 90°
let x be one angle then x – 10 is the other, their sum is
x + x – 10 = 90
2x – 10 = 90 ( add 10 to both sides )
2x = 100 ( divide both sides by 2 )
x = 50
Then angles are 50° and 50° – 10° = 40°
Answer:
50° and 40°
Step-by-step explanation:
Since complementary angles are 90°, the angles combined have to equal to 90.
50 – 40 = 10
40 + 10 = 50
50 + 40 = 90