Question

Need explanation to this exercise Given d =50 degrees, Find g?

Answer 1

Given:

`d=50^o`

x and y are parallel.

Required:

We need to find the measure of angle g.

Step-by-step explanation:

`g^o\text{ and }e^o\text{ are corresponding angles since x and y are parallel.}`

We know that the corresponding angles are equal.

`g^o=e^o`

`d^o\text{ and }e^o\text{ are supplementary angles since }d^o\text{ and }e^o\text{ are linear pair.}`

We know that the sum of the supplementary angles is 18- degrees.

`d^o+e^o=180^o`
`Replace\text{ }e^o=g^o\text{ in the equation.}`

`d^o+g^o=180^o`
`Substitute\text{ }d^o=50^o\text{ in the equation.}`

`50^o+g^o=180^o`

Subtract 50 degrees from both sides of the equation.

`50^o+g^o-50^o=180^o-50^o`

`g^o=130^o`

Final answer:

`g^o=130^o`