ABD and CBD form a linear pair . if m ABD = 6x-12 and m CBD = x + 31 find the m ABD

Mathematics

2 answers:

otez555 [7]3 years ago

7 0

Answer:

m∠ABD = 126°

Step-by-step explanation:

if both angles make a linear pair then their sum equals to 180°

you can solve for x

m∠ABD + m∠CBD = 180

6x-12 + x+31= 180

7x + 19 = 180

7x = 161

x=23; now solve for

m∠ABD = 6x - 12 = 6(23) - 12 = 126°

xz_007 [3.2K]3 years ago

7 0

Answer: m∠ABD = 126°

Step-by-step explanation:

if both angles make a linear pair then their sum equals to 180°

you can solve for x

m∠ABD + m∠CBD = 180

6x-12 + x+31= 180

7x + 19 = 180

7x = 161

x=23; now solve for

m∠ABD = 6x - 12 = 6(23) - 12 = 126°. hope this helped my brother merry Christmas!

Step-by-step explanation:

You might be interested in

17. Find the value of the function h(x) = 7x - 11 given that = 8m +3

Naya [18.7K]

Answer:

the answer is d

Step-by-step explanation:

thank you please follow me

4 0

3 years ago

Hey sandwich shop has 80 stores and 60% of the stores are in California the rest of the stores are in Nevada how many stores are

umka2103 [35]

$\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{60\% of 80}}{\left( \cfrac{60}{100} \right)80}\implies 48~\hfill \begin{array}{cllll} \stackrel{california}{\underset{60\%}{48}}\\\\ \stackrel{nevada}{\underset{the~rest}{32}} \end{array}$