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Help will give braniest answer to person who is correct find the degree measure of each angle in the triangle

Help Will Give Braniest Answer To Person Who Is Correct Find The Degree Measure Of Each Angle In The Triangle class=

Sagot :

cwang23

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

Hrishii

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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