Question

Find the value of X:

Answer 1

Answer:

x = 31 and x = 15

Step-by-step explanation:

(a)

(3x + 31) and (2x - 6) are a linear pair and sum to 180° , then

3x + 31 + 2x - 6 = 180

5x + 25 = 180 ( subtract 25 from both sides )

5x = 155 ( divide both sides by 5 )

x = 31

(b)

3x and (4x - 15) form a right angle and sum to 90° , then

3x + 4x - 15 = 90

7x - 15 = 90 ( add 15 to both sides )

7x = 105 ( divide both sides by 7 )

x = 15