Question

PLZ....
11. Find mZJHI.

Answer 1

JHI = 23°

Explanation:

Since it's a rectangle it has 4 right angles.

90= 3x + 2 + 12x -17

90= 15x -15

105= 15x

x=7°

So HJI would be 12*7 -17 = 67°

Knowing that the sum of the angles of a triangle is 180°,

67° + 90°+ JHI= 180°

JHI = 23°

Answer 2

Explanation:

we have 2 equations that we can set equal to 90. that way, we can find x and then solve the equations for themselves. angle JHI is equal to GJK, which is an angle we can easily find. here is my work:

(3x + 2) + (12x - 17) = 90

15x - 15 = 90

+ 15 + 15

15x = 105

x = 7

3(7) + 2

21 + 2

GJK = 23

so, since the two angles are congruent, that means that angle JHI = 23 degrees