Question

1. Find the value of x for each of the
following figure​

Answer 1

The value of x in figure (a) is 95.

By angle sum property of a triangle:

40 + 45 + x = 180

85 + x = 180

x = 180 - 85

x = 95

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Answer 2

Answer:

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Step-by-step explanation:

We know that sum of all angles

in a triangle is 180°

a) 40 + 45 + x = 180

85 + x = 180

x = 189 - 85

x = 95

b) (3x-17) + (x+40) + (2x-5) = 180

3x-17+x+40+2x-5 = 180

3x+x+2x-17+40-5 = 180

6x+18 = 180

6x = 180 - 18

6x = 162

x = 162 / 6

x = 27