Question

HELPPPPPPP

Find the value of x for both

Answer 1

1. x=18 2. x=30

Explanation:

For 1. the equation would be x+4x =90 as it is a 90 degree angle

So 5x=90 then x = 18

For 2. The 2 angles are the same so we set them equal to each other

x=1/2x+15

2x=x+30

x=30

Answer 2

x = 18 and x = 30

Explanation:

The 3 angles lie on a straight line and sum to 180° , that is

90 + x + 4x = 180

90 + 5x = 180 ( subtract 90 from both sides )

5x = 90 ( divide both sides by 5 )

x = 18

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The 2 angles are corresponding and congruent , then

x =
`(1)/(2)` x + 15 ( multiply through by 2 to clear the fraction )

2x = x + 30 ( subtract x from both sides )

x = 30