contestada

In ΔHIJ,
m
∠
H
=
(
4
x
+
1
)
∘
m∠H=(4x+1)
∘
,
m
∠
I
=
(
2
x
−
6
)
∘
m∠I=(2x−6)
∘
, and
m
∠
J
=
(
6
x
−
7
)
∘
m∠J=(6x−7)
∘
. Find
m
∠
J
.
m∠J.

Respuesta :

Answer:

89 degrees

Step-by-step explanation:

Since these angles make up a triangle, we know that the total of these angles will make 180 degrees. So, we need to set the equations up appropriately, and solve for x:

[tex]180=(4x+1)+(2x-6)+(6x-7)\\180=12x-12\\192=12x\\x=16\\[/tex]

Then, you plug 16 back into the equation for angle J, and simplify:

[tex](6(16)-7)\\(96-7)\\(89)[/tex]

Therefore, the answer is 89 degrees.