Find m <ABC (7x-1) (3x-9

Question

asked Nov 25, 2018 11.5k views

2 Answers

Trajan · Answer 1 · 2018-12-01T19:43:39+0000

Answer:

Therefore,
$\angle ABC = 48\degree$

Explanation:

We need to find the
$\angle ABC$

Since,
$\angle DBC = 180\degree$ ( since DBC is straight line )

$(7x-1)+(3x-9)=180\degree$

$10x-10=180 \degree$

Add both the sides by 10 in above expression

$10x-10+10=180\degree+10$

$10x=180 \degree+10$

$10x=190 \degree$

divide both the sides by 10 in above expression

x=(190)/(10)

x=19

Hence, the value of x is 19.

Now, we will calculate
$\angle ABC$

$\angle ABC = 3x-9$

Put x = 19 in above

$\angle ABC = 3(19)-9$

$\angle ABC = 57-9$

$\angle ABC = 48$

Therefore,
$\angle ABC = 48$ .