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4 votes
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.

User Tibortru
by
7.7k points

1 Answer

3 votes

Answer:

89 degrees

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:


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

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


(6(16)-7)\\(96-7)\\(89)

Therefore, the answer is 89 degrees.

User Ziggystar
by
9.5k points
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