If ∠ABD and ∠CBD are a linear pair, m∠ABD = (3x+31)°, m∠CBD = (2x-6)°, then find m∠ABD. *

∠ ABD = 124°

Step-by-step explanation:

A linear pair of angles sum to 180°, thus

∠ ABD + ∠ CBD = 180 , substitute values

3x + 31 + 2x - 6 = 180, that is

5x + 25 = 180 ( subtract 25 from both sides )

5x = 155 ( divide both sides by 5 )

x = 31

Thus

∠ ABD = 3x + 31 = 3(31) + 31 = 93 + 31 = 124°

we can't see all full 4 options, but if this is the full option, than the very left one is correct:

-2/5 * -3 3/4

remake the question, adding a picture of all the question, or write down the full left and right answers.