Question

Please Help Me

For the figure below m<ABC = 70°. Which theorem or postulate can be used to determine m<DBC? What is m<DBC? (pic of the drawing below)​

Answer 1

38°

Explanation:

<ABD and <DBC are two interior angles that make up <ABC.

Based on the Angle Addition Theorem, the following equation can be used to find m<DBC:

`(3x + 5) + (6x - 16) = 70`

Find x

`3x + 5 + 6x - 16 = 70`

`9x - 11 = 70`

`9x = 70 + 11`

`9x = 81`

`x = (81)/(9)`

`x = 9`

We are given that, m<DBC = (6x - 16)°

Plug in the value of x to find the measure

m<DBC = 6(9) - 16 = 54 - 16 = 38°