Question

Find m∠GHI if m∠GHI=14x+6, m∠QHI=130∘, and m∠GHQ=3x−3.

Answer 1

The value of m∠GHI is 104 degrees.Substituting x = 7 back into m∠GHI = 14x + 6, we get m∠GHI = 14(7) + 6 = 98 + 6 = 104.

Step-by-step explanation:

Given that m∠QHI = 130° and m∠GHQ = 3x - 3, we can substitute these values into the equation m∠GHI = 14x + 6.

So, 14x + 6 = 130 - (3x - 3).

Simplifying the equation, we get 14x + 6 = 130 - 3x + 3.

Combining like terms, 17x = 127.

Dividing both sides by 17, x = 7.

Substituting x = 7 back into m∠GHI = 14x + 6, we get m∠GHI = 14(7) + 6 = 98 + 6 = 104.