Question

Angle AOC and BOC are complementary angles.If angle AOC=(x+10degree) and BOC=2(x+5degree),then find x

Answer 1

x = 15


solution
here, angle AOC = x + 10
angle BOC = 2 (x+5)


angle AOC + angle BOC = 90


therefore. (x + 10) + 2 (x + 5) = 90
therefore. x + 10 + x + 5 = 90 ÷ 2
therefore. 2x + 15 = 45
therefore. 2x = 45 - 15
therefore. 2x = 30
therefore. x = 30 ÷ 2
therefore. x = 15

Answer 2

Answer:

x=15

Step-by-step explanation:

Here, angle AOC =x+10

angle BOC= 2( x+5)

angle AOC + angle BOC= 90°

Therefore,(x+10)+2(x+5)= 90°

x+10+x+5=90/2

2x+15=45

2x=45-15

2x=30

x=30/2

x=15

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