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Geometry only answer if you know

Geometry only answer if you know-example-1

1 Answer

11 votes

My complete work :

Given :

  • ∠F = ∠J
  • ∠D = ∠H
  • ∠E = ∠I

Sum of all angles in a triangle = 180°

Which means :

  • 41 + 20 + 15x - 1 = 180


= \tt61 + 15x - 1 = 180


=\tt 61 - 1 + 15x = 180


=\tt 60 + 15x = 180


= \tt15x = 180 - 60


=\tt 15x = 120


= \tt \: x = (120)/(15)


=\tt x = 18

  • Thus, the value of x = 18

Measure of angle 15x-1 :


= \tt15 * 8 - 1


=\tt120 - 1


=\tt 119

Thus, the measure of angle 15x-1 = 119°

Let us place 8 in the place of x to see if we have found out the correct measure of the angles :


= \tt40 + 21 + 119 = 180


= \tt61 + 119 = 180


=\tt 180 = 180

Since the measures of all the angle sum up to form 180°, we can conclude that we have found out the correct measure of each of the angles.

Therefore, the value of x = 8

My answer :


\boxed{\color{plum}\bold{x = 8}}

User Jdgregson
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