Question

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

Answer 1

`m\angle I = 90\degree`

`m\angle J= 61\degree`

`m\angle K = 29\degree`

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

`m \angle \: I= 90 \degree \\ \\ m \angle \: J=(5x + 26) \degree = (5 * 7 + 26) \degree \\ \\ m \angle \: J = (35+ 26) \degree \\ \\ m \angle \: J= 61\degree\\ \\ m \angle \: K=(2x + 15) \degree = (2 * 7 + 15) \degree \\ \\ m \angle \: K = (14+ 15) \degree \\ \\ m \angle \: K = 29\degree`

Answer 2

Angle I = 90 degrees

Angle J = 61 degrees

Angle K = 29 degrees

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