Question

In this picture, m∠AOC = 69° and m∠COD = 2x + 6. If ∠AOC and ∠COD are complementary angles, then what is the value of x?
A. 52.5
B. 21
C. 3
D. 7.5

Answer 1

Answer:

x = 27.5

Step-by-step explanation:

AOB is straight line

x = ?

angle AOC + angle COD + angle DOB = 180

(3x-5) + 55 + x + 20 = 180

3x+x+55+20-5 = 180

4x+75-5 = 180

4x+70 = 180

4x = 180- 70

4x = 110

x = 110/4

x = 27.5

hope it helps.

Answer 2

As given AOD =69°

COD=2x+6

Also AOD and COD are complementary angles

So, AOD + COD =90°

69°+2x+6=90°

2x+6 = 90°-69°

2x=21°-6

x=15/2°

x=7.5°

option D is correct