Question

Use the figure below to complete the following problem.Given:ZH= 2x + 60Z T= x+ 30HALT is aT=

Answer 1

Answer: 60 degrees

The figure there is a parallelogram

< H = 2x + 60

< T = x + 30

Therefore, supplementary angles is 180 degrees

< H + < T = 180

2x + 60 + x + 30 = 180

Collect the like terms

2x + x + 60 + 30 = 180

3x + 90 = 180

3x = 180 - 90

3x = 90

Divide both sides by 3

3x/3 = 90/3

x = 30

Since < T = x + 30

Hence,

< T = 30 + 30

< T = 60 degrees