Question

Find the value of Xº if

Answer 1

Question: Find the value of Xº if <ADC = 71°

Answer:

15

Explanation:

Given:

<ADC = 71°

<ADB = (x + 7)°

<BDC = (2x + 19)°

Required:

Value of x

Solution:

<ADB + <BDC = <ADC

(x + 7)° + (2x + 19)° = 71°

x + 7 + 2x + 19 = 71

x + 2x + 7 + 19 = 71

3x + 26 = 71

Subtract 26 from both sides

3x + 26 - 26 = 71 - 26

3x = 45

Divide both sides by 3 to make x the subject of formula

`(3x)/(3) = (45)/(3)`

`x = 15`

The value of x is 15.