1 Answer

PBuch · Answer 1 · 2023-01-23T00:09:41+0000

Answer:

$m\angle BDC = 68\textdegree$

Explanation:

Using the given information, we can deduce that angles BDC and ADC are supplementary; their measures add to 180°.

This can be represented by the following equation:

$(-7x + 12)\textdegree + (-8x+48)\textdegree = 180\textdegree$

First, solve for x.

$-15x\textdegree + (12 + 48)\textdegree = 180\textdegree$

$-15x \textdegree = (180 - 60) \textdegree$

$-15x\textdegree = 120\textdegree$

$x\textdegree = -8\textdegree$

x = -8

Then, substitute x into the expression for BDC.

$m\angle BDC = (-7x+12)\textdegree$

$m\angle BDC = (-7(-8) + 12)\textdegree$

$m\angle BDC = (56 + 12)\textdegree$

$m\angle BDC = 68\textdegree$

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