Question

Geometry problems Plss help :)

Answer 1

The value of x in the first triangle is 9. The value of x in the second triangle is 12.88

In the first triangle, the value of x can be found by the exterior angle theorem. The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

Here, the exterior angle is
`(5x+7)\textdegree` and the two remote interior angles are

`(6x-26)\textdegree` and
`(x+15)\textdegree`.

So,

(6x-26)+(x+15)= (5x+7)

7x-11 = 5x+7

7x-5x=7+11

2x= 18

x= 18/2

x=9

Therefore, the value of x in the first triangle is 9.

In the second triangle, the value of x can be found by the statement that sum of the angles in a triangle is
`180\textdegree`. So,

90+(3x-14)+2(3x-6)=180

3x-14+6x-12=180-90

9x-26=90

9x=90+26

9x=116

x=116/9

x=12.88

Therefore, the value of x in the second triangle is 12.88.