Question

Given that m / ABC is a straight angle,

find m/ ABD and m/DBC.
A
(7x+14)º
B
D
(3x + 6)º
C

Answer 1

The measurement of ABD is 126°.

The measurement of DBC is 54°

Explanation:

A straight line has a measurement of 180.

7x + 14 + 3x + 6 = 180 combine like terms

10x + 20 = 180 Subtract 20 from both sides

10x + 20 - 20 = 180 - 20

10x = 160 Divide both sides by 10

`(10x)/(10)` =
`(160)/(10)`

x = 16

ABD

7x + 14 Substitute in 16 for x

7(16) + 14

112 + 14

126

DBC

3x + 6 Substitute in 16 for x

3(16) + 6

48 + 6

54