60.5k views
3 votes
12).What is the angle measure ofL?К.450(x+15) L(2x)O 55O 57O 58360

12).What is the angle measure ofL?К.450(x+15) L(2x)O 55O 57O 58360-example-1
User Nannerpus
by
8.2k points

1 Answer

3 votes

Answer

Option A is correct.

Angle L = 55°

Step-by-step explanation

To answer this, we need to note that the sum of angles in a triangle is 180°

So, we can solve for x by summing up the angles of this triangle and equating them to 180°

Angle J + Angle K + Angle L = 180°

2x + 45° + (x + 15)° = 180°

2x + 45° + x + 15° = 180°

2x + x + 45° + 15° = 180°

3x + 60° = 180°

3x = 180° - 60°

3x = 120°

Divide both sides by 3

(3x/3) = (120°/3)

x = 40°

Angle L = x + 15° = 40° + 15° = 55°

Hope this Helps!!!

User Michael Peacock
by
8.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories