Question

I’m confused on this one

Answer 1

Remark: What might be confusing you is the the given expression must add up to 90o. You know this because <B = 90 so the other two angles must be 90o.

Equation

5x - 10 + 6x - 21 = 90 Combine like terms on the left

11x - 31 = 90 Add 31 to both sides.

11x - 31 + 31 = 90 + 31

11x = 121 Divide by 11

x = 121/11 = 11.

Find the value of 6x - 21

6*11 - 21 = 66 - 21= 45

Comment

The central angle for arc AB (which is double ADB = 2*45 =90) is 90. So arc AB = 90

Answer 2

5x-10 is your answer