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Solve for the m — pls send help :,)

Solve for the m — pls send help :,)-example-1
User Rigoberto
by
7.3k points

1 Answer

4 votes

Answer:

angle K = 32°

Explanation:

angles in triangle add up to 180°.

angle H is 90° because triangle KJH is in a semicircle (JK is diameter).

so angle J + angle K must add up to 180° - 90° = 90°.

we have (5x - 2) + (2x + 8) = 90

5x + 2x - 2 + 8 = 90

7x + 6 = 90

7x = 90 - 6 = 84

x = 12.

so angle K = (2x + 8)° = (2(12) + 8)° = (24 + 8)° = 32°.

User Paramjit
by
7.9k points

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