Question

Geometry only answer if you know

Answer 1

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}}`