Suppose point D is in the interior of ∠ABC , m∠ABC=12x−110
, m∠ABD=3x+40
, and m∠DBC=2x−10
. What is the m∠ABC

Given:

Suppose point D is in the interior of ∠ABC , m∠ABC=12x−110 , m∠ABD=3x+40 , and m∠DBC=2x−10.

To find:

The measure of ∠ABC.

Solution:

Since point D is in the interior of ∠ABC, therefore

Substitute the given values, we get

Divide both sides by 7.

The value of x is 20.

Therefore, the measure of ∠ABC is 130 degrees.

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x

final total: 63

step-by-step explanation:

60 times sales tax

60 times 0.05

3

60 + 3

63