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blondinia
1 month ago
14

3 lines are shown. A line with points M, H, K intersects with a line with points J, H, L at point H. Another line extends from p

oint H to point N in between angle K, H, J. Angle M H L is (3 x + 20) degrees, angle K H N is (x + 25) degrees, and angle J H N is (x + 20) degrees. What is the measure of AngleJHN? 25° 45° 50° 95°

Mathematics
2 answers:
zzz [12.3K]1 month ago
9 0

Answer:

The answer is B

Step-by-step explanation:

AnnZ [12.3K]1 month ago
9 0

Answer:

The correct choice is B.

Step-by-step explanation:

Given angles are: ∠MHL=(3x+20), ∠KHN=(x+25), and ∠JHN=(x+20).

We need to determine the measure of ∠JHN.

\angle MHL=\angle JHK                         (Rotation of angles)

\angle MHL=\angle JHN+\angle KHN

Substituting the known values.

3x+20=(x+20)+(x+25)

3x+20=2x+45

3x-2x=45-20

x=25

Solving gives x as 25. Therefore, ∠JHN measures

\angle JHN=x+20=25+20=45

45°.

Consequently, the accurate choice is B.

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