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Sagot :
Answer:
Angle I = 90 degrees
Angle J = 61 degrees
Angle K = 29 degrees
Step-by-step explanation:
Angle I is given
We know that the angles in all triangles add up to 180. Since we are given that angle I is equal to 90 degrees, we now know that angle J + angle K = 90 degrees:
(5x+26) + (2x+15) = 90
Solve for X:
7x + 41 = 90
7x = 49
x = 7
Angle J = (5x + 26) = (5(7) + 26) = 61
Angle K = (2x + 15) = (2(7) + 15) = 29
Checking your work: 61 + 29 = 90
Answer:
[tex] m\angle I = 90\degree [/tex]
[tex] m\angle J= 61\degree [/tex]
[tex] m\angle K = 29\degree [/tex]
Step-by-step explanation:
(5x + 26)° + (2x + 15)° = 90°
(5x + 26 + 2x + 15)° = 90°
(7x + 41)° = 90°
7x + 41 = 90
7x = 90 - 41
7x = 49
x = 49/7
x = 7
[tex]m \angle \: I= 90 \degree \\ \\ m \angle \: J=(5x + 26) \degree = (5 \times 7 + 26) \degree \\ \\ m \angle \: J = (35+ 26) \degree \\ \\ m \angle \: J= 61\degree\\ \\ m \angle \: K=(2x + 15) \degree = (2 \times 7 + 15) \degree \\ \\ m \angle \: K = (14+ 15) \degree \\ \\ m \angle \: K = 29\degree[/tex]
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